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Finding the Fourth Proportional to 3,543.90, 5,314.31 and 1,078.15

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Solution

The fourth proportional to 3,543.90, 5,314.31 and 1,078.15 is: 1,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.90 : 5,314.31 = 1,078.15 : x
  2. Step 2: Convert to fraction form
    3,543.90/5,314.31 = 1,078.15/x
  3. Step 3: Cross multiply
    3,543.90x = 5,314.31 × 1,078.15
  4. Step 4: Simplify right side
    3,543.90x = 5,729,596.75
  5. Step 5: Solve for x
    x = 5,729,596.75/3,543.90
  6. Step 6: Final answer
    x = 1,616.75

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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.