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Finding the Fourth Proportional to 3,892.72, 5,834.22 and 1,945.48

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Solution

The fourth proportional to 3,892.72, 5,834.22 and 1,945.48 is: 2,915.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.72 : 5,834.22 = 1,945.48 : x
  2. Step 2: Convert to fraction form
    3,892.72/5,834.22 = 1,945.48/x
  3. Step 3: Cross multiply
    3,892.72x = 5,834.22 × 1,945.48
  4. Step 4: Simplify right side
    3,892.72x = 11,350,358.33
  5. Step 5: Solve for x
    x = 11,350,358.33/3,892.72
  6. Step 6: Final answer
    x = 2,915.79

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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.