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Finding the Fourth Proportional to 4,761.40, 7,142.10 and 1,251.18

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Solution

The fourth proportional to 4,761.40, 7,142.10 and 1,251.18 is: 1,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.40 : 7,142.10 = 1,251.18 : x
  2. Step 2: Convert to fraction form
    4,761.40/7,142.10 = 1,251.18/x
  3. Step 3: Cross multiply
    4,761.40x = 7,142.10 × 1,251.18
  4. Step 4: Simplify right side
    4,761.40x = 8,936,052.68
  5. Step 5: Solve for x
    x = 8,936,052.68/4,761.40
  6. Step 6: Final answer
    x = 1,876.77

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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.