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Find the smallest constant C > 0 for which the following statement holds: among any five positive real numbers a_1,a_2,a_3,a_4,a_5 (not necessarily distinct), one can always choose distinct subscripts i,j,k,l such that \left| \frac{a_i}{a_j} - \frac {a_k}{a_l} \right| \le C.

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