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Finding the Fourth Proportional to 3,998.28, 5,997.42 and 1,366.10

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Solution

The fourth proportional to 3,998.28, 5,997.42 and 1,366.10 is: 2,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.28 : 5,997.42 = 1,366.10 : x
  2. Step 2: Convert to fraction form
    3,998.28/5,997.42 = 1,366.10/x
  3. Step 3: Cross multiply
    3,998.28x = 5,997.42 × 1,366.10
  4. Step 4: Simplify right side
    3,998.28x = 8,193,045.47
  5. Step 5: Solve for x
    x = 8,193,045.47/3,998.28
  6. Step 6: Final answer
    x = 2,049.14

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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.