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Finding the Fourth Proportional to 3,586.43, 5,382.72 and 2,663.78

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Solution

The fourth proportional to 3,586.43, 5,382.72 and 2,663.78 is: 3,997.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.43 : 5,382.72 = 2,663.78 : x
  2. Step 2: Convert to fraction form
    3,586.43/5,382.72 = 2,663.78/x
  3. Step 3: Cross multiply
    3,586.43x = 5,382.72 × 2,663.78
  4. Step 4: Simplify right side
    3,586.43x = 14,338,354.97
  5. Step 5: Solve for x
    x = 14,338,354.97/3,586.43
  6. Step 6: Final answer
    x = 3,997.94

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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.