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Finding the Fourth Proportional to 3,542.16, 5,314.02 and 1,350.90

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Solution

The fourth proportional to 3,542.16, 5,314.02 and 1,350.90 is: 2,026.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.16 : 5,314.02 = 1,350.90 : x
  2. Step 2: Convert to fraction form
    3,542.16/5,314.02 = 1,350.90/x
  3. Step 3: Cross multiply
    3,542.16x = 5,314.02 × 1,350.90
  4. Step 4: Simplify right side
    3,542.16x = 7,178,709.62
  5. Step 5: Solve for x
    x = 7,178,709.62/3,542.16
  6. Step 6: Final answer
    x = 2,026.65

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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.