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Finding the Fourth Proportional to 3,626.38, 4,966.90 and 3,413.60

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Solution

The fourth proportional to 3,626.38, 4,966.90 and 3,413.60 is: 4,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.38 : 4,966.90 = 3,413.60 : x
  2. Step 2: Convert to fraction form
    3,626.38/4,966.90 = 3,413.60/x
  3. Step 3: Cross multiply
    3,626.38x = 4,966.90 × 3,413.60
  4. Step 4: Simplify right side
    3,626.38x = 16,955,009.84
  5. Step 5: Solve for x
    x = 16,955,009.84/3,626.38
  6. Step 6: Final answer
    x = 4,675.46

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