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If a,b,c,d are four positive numbers tha...

If `a,b,c,d` are four positive numbers that (i) `(a/b+b/c)(c/d+d/e)le4.sqrt(a/c)` (ii) `(a/b+b/c)(c/d+d/e)ge4.sqrt(a/c)` (iii) `a/b+b/c+c/d+d/e+e/a le 5` (iv) `a/b+b/c+c/d+d/e+e/a ge 1/5`

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