Given that \(\frac{1}{{a + \frac{1}{{b + \frac{1}{c}}}}} = \frac{{15}}{{52}}\), then find the value of \(\frac{1}{{b + \frac{1}{{c + \frac{1}{a}}}}}\).

1
22/47
2
24/49
3
21/46
4
25/46

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