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Finding the Fourth Proportional to 3,431.87, 5,146.23 and 1,350.27

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Solution

The fourth proportional to 3,431.87, 5,146.23 and 1,350.27 is: 2,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,431.87 : 5,146.23 = 1,350.27 : x
  2. Step 2: Convert to fraction form
    3,431.87/5,146.23 = 1,350.27/x
  3. Step 3: Cross multiply
    3,431.87x = 5,146.23 × 1,350.27
  4. Step 4: Simplify right side
    3,431.87x = 6,948,805.05
  5. Step 5: Solve for x
    x = 6,948,805.05/3,431.87
  6. Step 6: Final answer
    x = 2,024.79

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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.