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Finding the Fourth Proportional to 3,522.38, 5,285.39 and 1,791

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Solution

The fourth proportional to 3,522.38, 5,285.39 and 1,791 is: 2,687.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.38 : 5,285.39 = 1,791 : x
  2. Step 2: Convert to fraction form
    3,522.38/5,285.39 = 1,791/x
  3. Step 3: Cross multiply
    3,522.38x = 5,285.39 × 1,791
  4. Step 4: Simplify right side
    3,522.38x = 9,466,124.54
  5. Step 5: Solve for x
    x = 9,466,124.54/3,522.38
  6. Step 6: Final answer
    x = 2,687.43

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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.