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Finding the Fourth Proportional to 3,847.68, 5,332.14 and 3,789.36

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Solution

The fourth proportional to 3,847.68, 5,332.14 and 3,789.36 is: 5,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.68 : 5,332.14 = 3,789.36 : x
  2. Step 2: Convert to fraction form
    3,847.68/5,332.14 = 3,789.36/x
  3. Step 3: Cross multiply
    3,847.68x = 5,332.14 × 3,789.36
  4. Step 4: Simplify right side
    3,847.68x = 20,205,398.03
  5. Step 5: Solve for x
    x = 20,205,398.03/3,847.68
  6. Step 6: Final answer
    x = 5,251.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.