In the questions, there is a certain relationship between the two given numbers on one side of :: and one number is given on another side of :: . It is required to find another number from the given alternative having the same relationship with this number as the numbers of the given pair has :
4376: 5487 :: 5784 : ?

Options

A. 3265
B. 4673
C. 6598
D. 6895

Explanation

To solve the analogy problem \( 4376 : 5487 :: 5784 : ? \), we need to identify the relationship between the first pair of numbers (4376 and 5487) and then apply the same relationship to the number 5784 to find the missing number.

### Step-by-Step Solution:

1. **Identify the relationship between the first pair (4376 and 5487)**:
- Let's break down the numbers:
- \( 4 \) becomes \( 5 \) (increased by \( 1 \))
- \( 3 \) becomes \( 4 \) (increased by \( 1 \))
- \( 7 \) becomes \( 8 \) (increased by \( 1 \))
- \( 6 \) becomes \( 7 \) (increased by \( 1 \))

From this, we can see that each digit of the first number is increased by \( 1 \) to get the corresponding digit in the second number.

2. **Apply the same relationship to the second number (5784)**:
- Now, we will apply the same pattern of increasing each digit by \( 1 \):
- \( 5 \) becomes \( 6 \) (increased by \( 1 \))
- \( 7 \) becomes \( 8 \) (increased by \( 1 \))
- \( 8 \) becomes \( 9 \) (increased by \( 1 \))
- \( 4 \) becomes \( 5 \) (increased by \( 1 \))

3. **Combine the results**:
- After applying the pattern, we get the new number:
- \( 6785 \)

Thus, the answer is \( 6785 \).

### Final Answer:
The missing number is \( 6785 \).