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Finding the Fourth Proportional to 3,600.96, 5,402.24 and 1,410.31

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Solution

The fourth proportional to 3,600.96, 5,402.24 and 1,410.31 is: 2,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,600.96 : 5,402.24 = 1,410.31 : x
  2. Step 2: Convert to fraction form
    3,600.96/5,402.24 = 1,410.31/x
  3. Step 3: Cross multiply
    3,600.96x = 5,402.24 × 1,410.31
  4. Step 4: Simplify right side
    3,600.96x = 7,618,833.09
  5. Step 5: Solve for x
    x = 7,618,833.09/3,600.96
  6. Step 6: Final answer
    x = 2,115.78

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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.