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Finding the Fourth Proportional to 3,545.75, 5,309.34 and 2,500.09

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Solution

The fourth proportional to 3,545.75, 5,309.34 and 2,500.09 is: 3,743.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545.75 : 5,309.34 = 2,500.09 : x
  2. Step 2: Convert to fraction form
    3,545.75/5,309.34 = 2,500.09/x
  3. Step 3: Cross multiply
    3,545.75x = 5,309.34 × 2,500.09
  4. Step 4: Simplify right side
    3,545.75x = 13,273,825.10
  5. Step 5: Solve for x
    x = 13,273,825.10/3,545.75
  6. Step 6: Final answer
    x = 3,743.58

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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.