Let \(a\) and \(b\) be positive reals such that:
\[ a = 1 + \frac{a}{b} \]
\[ b = 3 + \frac{4 + a}{b - 2} \]
The original answer is in the form \(\sqrt[3]{k}\). Please find the value of \(k\).

Let's think step by step and output the final answer within \boxed{}.
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