Unlike most quantum systems which rapidly become incoherent as temperature is raised, strong correlations persist at elevated temperatures in S=1/2 dimer magnets, as revealed by the unusual asymmetric lineshape of their excitations at finite temperatures. Here we explore the compound BaCu2V2O8 which we show to be a highly dimerized chain where the antiferromagnetic dimers are coupled ferromagnetically contradicting all previous work. The asymmetric lineshape of BaCu2V2O8 is in quantitative agreement with state of the art computational techniques over a wide range of temperatures, showing that it is now possible to predict coherent behavior at elevated temperatures in quantum magnets.