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Finding the Fourth Proportional to 3,761.28, 5,641.92 and 1,423.68

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Solution

The fourth proportional to 3,761.28, 5,641.92 and 1,423.68 is: 2,135.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.28 : 5,641.92 = 1,423.68 : x
  2. Step 2: Convert to fraction form
    3,761.28/5,641.92 = 1,423.68/x
  3. Step 3: Cross multiply
    3,761.28x = 5,641.92 × 1,423.68
  4. Step 4: Simplify right side
    3,761.28x = 8,032,288.67
  5. Step 5: Solve for x
    x = 8,032,288.67/3,761.28
  6. Step 6: Final answer
    x = 2,135.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.