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Finding the Fourth Proportional to 4,314.90, 6,472.32 and 3,543.78

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Solution

The fourth proportional to 4,314.90, 6,472.32 and 3,543.78 is: 5,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,314.90 : 6,472.32 = 3,543.78 : x
  2. Step 2: Convert to fraction form
    4,314.90/6,472.32 = 3,543.78/x
  3. Step 3: Cross multiply
    4,314.90x = 6,472.32 × 3,543.78
  4. Step 4: Simplify right side
    4,314.90x = 22,936,478.17
  5. Step 5: Solve for x
    x = 22,936,478.17/4,314.90
  6. Step 6: Final answer
    x = 5,315.65

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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.