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The paraboloidal model of Mercury's magnetospheric magnetic field is used to determine best-fit magnetospheric current system and internal dipole parameters from magnetic field measurements taken during the first and second MESSENGER flybys of Mercury on 14 January and 6 October 2008. Together with magnetic field measurements taken during the 29 March 1974 and 16 March 1975 Mariner 10 flybys, there exist three low-latitude traversals separated in longitude and one high-latitude encounter. Modeling of these magnetic field measurements using the paraboloidal parameterization provides not only values for the magnitude of the planetary dipole and its location within the planet, but also the mean values and variation in the magnetopause and tail current systems during these four flybys. The structure of Mercury's magnetic field and magnetospheric current systems obtained with the paraboloidal model fitting compares well with that provided by other modeling frameworks. The dipole offset (about 460 km) northward direction relative to the origin give smaller rms deviation about 11 nT.