A single-phase \(400\;V,\;50\;Hz\) transformer has an iron loss of \(5000\;W\) at the rated condition. When operated at \(200\;V,\;25\;Hz\), the iron loss is \(2000\;W\). When operated at \(416\;V,\;52\;Hz\), the value of the hysteresis loss divided by the eddy current loss is ______.
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