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Finding the Fourth Proportional to 3,761.52, 5,639.04 and 2,120.46

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Solution

The fourth proportional to 3,761.52, 5,639.04 and 2,120.46 is: 3,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.52 : 5,639.04 = 2,120.46 : x
  2. Step 2: Convert to fraction form
    3,761.52/5,639.04 = 2,120.46/x
  3. Step 3: Cross multiply
    3,761.52x = 5,639.04 × 2,120.46
  4. Step 4: Simplify right side
    3,761.52x = 11,957,358.76
  5. Step 5: Solve for x
    x = 11,957,358.76/3,761.52
  6. Step 6: Final answer
    x = 3,178.86

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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.