Answer
$\frac{m_1}{m_2}=1.33$
Work Step by Step
We have $$v_{cm}=\frac{m_1v_1+m_2v_2}{m_1+m_2}=0$$ $$\frac{4.6m_1-6.1m_2}{m_1+m_2}=0$$ $$4.6m_1-6.1m_2=0$$ $$\frac{m_1}{m_2}=\frac{6.1}{4.6}=1.33$$
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