It doesn't matter if it's a solution (as Massimo wrote in the first post) or a solid (as he wrote in the second post, though, he didn't write that this is a correction). In both cases, the initial stage of calculations is identical. Massimo calculated the task as You and MNIO suggested and came to the conclusion that it gives the wrong result. The resulting atomic mass does not reasonably correspond to any of the known mono-, bi- or trivalent metals. So the only possibility is a salt hydrate (or salt solution) - compound crystallized from water, which means the question is:
Hydrate (solution) of which metal chloride may contain 38.7% chlorine. Such hydrate exists and contains exactly 38.74% Cl, which gives less than 0.1% error.