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Finding the Fourth Proportional to 3,542.64, 5,314.14 and 1,350.96

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Solution

The fourth proportional to 3,542.64, 5,314.14 and 1,350.96 is: 2,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.64 : 5,314.14 = 1,350.96 : x
  2. Step 2: Convert to fraction form
    3,542.64/5,314.14 = 1,350.96/x
  3. Step 3: Cross multiply
    3,542.64x = 5,314.14 × 1,350.96
  4. Step 4: Simplify right side
    3,542.64x = 7,179,190.57
  5. Step 5: Solve for x
    x = 7,179,190.57/3,542.64
  6. Step 6: Final answer
    x = 2,026.51

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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.