In triangle \(ABC\), \(a\), \(b\) and \(c\) are the opposite sides of the interior angles \(A\), \(B\) and \(C\), respectively.
It is given that \(A = 60^\circ\) and \(a = \sqrt{3}\), find the value of \(\frac{a + b + c}{\sin A + \sin B + \sin C}\).
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