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Finding the Fourth Proportional to 5,624.40, 7,761.24 and 3,385.80

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Solution

The fourth proportional to 5,624.40, 7,761.24 and 3,385.80 is: 4,672.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.40 : 7,761.24 = 3,385.80 : x
  2. Step 2: Convert to fraction form
    5,624.40/7,761.24 = 3,385.80/x
  3. Step 3: Cross multiply
    5,624.40x = 7,761.24 × 3,385.80
  4. Step 4: Simplify right side
    5,624.40x = 26,278,006.39
  5. Step 5: Solve for x
    x = 26,278,006.39/5,624.40
  6. Step 6: Final answer
    x = 4,672.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.