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Finding the Fourth Proportional to 4,761.28, 7,144.02 and 1,641.76

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Solution

The fourth proportional to 4,761.28, 7,144.02 and 1,641.76 is: 2,463.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.28 : 7,144.02 = 1,641.76 : x
  2. Step 2: Convert to fraction form
    4,761.28/7,144.02 = 1,641.76/x
  3. Step 3: Cross multiply
    4,761.28x = 7,144.02 × 1,641.76
  4. Step 4: Simplify right side
    4,761.28x = 11,728,766.28
  5. Step 5: Solve for x
    x = 11,728,766.28/4,761.28
  6. Step 6: Final answer
    x = 2,463.36

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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.