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Finding the Fourth Proportional to 3,744.38, 5,605.62 and 2,273.62

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Solution

The fourth proportional to 3,744.38, 5,605.62 and 2,273.62 is: 3,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.38 : 5,605.62 = 2,273.62 : x
  2. Step 2: Convert to fraction form
    3,744.38/5,605.62 = 2,273.62/x
  3. Step 3: Cross multiply
    3,744.38x = 5,605.62 × 2,273.62
  4. Step 4: Simplify right side
    3,744.38x = 12,745,049.74
  5. Step 5: Solve for x
    x = 12,745,049.74/3,744.38
  6. Step 6: Final answer
    x = 3,403.78

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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.