The modulus of $ z $ is:
$$ |z| = 4.0134$$To find modulus of a complex number $ z = a + bi $ we use formula:
$$ |z| = \sqrt{a^2 + b^2} $$In this example we have $ a = 0.3497 $ and $ b = 3.9981 $ so:
$$ \begin{aligned}|z| &= \sqrt{ 0.3497^2 + 3.9981^2 } \\[1 em]|z| &= \sqrt{ 0.1223 + 15.9851 } \\[1 em]|z| &= \sqrt{ 16.1074 } \\[1 em]|z| &= 4.0134 \\[1 em] \end{aligned} $$