The boundaries of two pieces of land were surveyed using a 100-meter surveyor’s tape. AB = 1,129.45 meters BC = 1589.40 meters CD = 769.10 meters DE = 413.67 meters It is later found out that the actual length of the tape is 102.1315 meters when triangle ABC was surveyed; but used a different and no defect tape when triangle CDE was surveyed. If Points A, C, and E are collinear, determine the correct distance AE. Express your answer in 4decimal places.

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