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Finding the Fourth Proportional to 3,898.28, 5,847.47 and 1,301.22

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Solution

The fourth proportional to 3,898.28, 5,847.47 and 1,301.22 is: 1,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.28 : 5,847.47 = 1,301.22 : x
  2. Step 2: Convert to fraction form
    3,898.28/5,847.47 = 1,301.22/x
  3. Step 3: Cross multiply
    3,898.28x = 5,847.47 × 1,301.22
  4. Step 4: Simplify right side
    3,898.28x = 7,608,844.91
  5. Step 5: Solve for x
    x = 7,608,844.91/3,898.28
  6. Step 6: Final answer
    x = 1,951.85

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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.