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Finding the Fourth Proportional to 3,785.78, 5,678.44 and 1,413.41

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Solution

The fourth proportional to 3,785.78, 5,678.44 and 1,413.41 is: 2,120.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.78 : 5,678.44 = 1,413.41 : x
  2. Step 2: Convert to fraction form
    3,785.78/5,678.44 = 1,413.41/x
  3. Step 3: Cross multiply
    3,785.78x = 5,678.44 × 1,413.41
  4. Step 4: Simplify right side
    3,785.78x = 8,025,935.49
  5. Step 5: Solve for x
    x = 8,025,935.49/3,785.78
  6. Step 6: Final answer
    x = 2,120.02

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