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Finding the Fourth Proportional to 5,572.18, 7,687.70 and 3,180.43

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Solution

The fourth proportional to 5,572.18, 7,687.70 and 3,180.43 is: 4,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.18 : 7,687.70 = 3,180.43 : x
  2. Step 2: Convert to fraction form
    5,572.18/7,687.70 = 3,180.43/x
  3. Step 3: Cross multiply
    5,572.18x = 7,687.70 × 3,180.43
  4. Step 4: Simplify right side
    5,572.18x = 24,450,191.71
  5. Step 5: Solve for x
    x = 24,450,191.71/5,572.18
  6. Step 6: Final answer
    x = 4,387.90

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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.