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Finding the Fourth Proportional to 3,854.25, 5,781.65 and 1,545.75

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Solution

The fourth proportional to 3,854.25, 5,781.65 and 1,545.75 is: 2,318.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.25 : 5,781.65 = 1,545.75 : x
  2. Step 2: Convert to fraction form
    3,854.25/5,781.65 = 1,545.75/x
  3. Step 3: Cross multiply
    3,854.25x = 5,781.65 × 1,545.75
  4. Step 4: Simplify right side
    3,854.25x = 8,936,977.76
  5. Step 5: Solve for x
    x = 8,936,977.76/3,854.25
  6. Step 6: Final answer
    x = 2,318.73

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