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Finding the Fourth Proportional to 3,584.34, 5,380.15 and 2,545.52

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Solution

The fourth proportional to 3,584.34, 5,380.15 and 2,545.52 is: 3,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.34 : 5,380.15 = 2,545.52 : x
  2. Step 2: Convert to fraction form
    3,584.34/5,380.15 = 2,545.52/x
  3. Step 3: Cross multiply
    3,584.34x = 5,380.15 × 2,545.52
  4. Step 4: Simplify right side
    3,584.34x = 13,695,246.16
  5. Step 5: Solve for x
    x = 13,695,246.16/3,584.34
  6. Step 6: Final answer
    x = 3,820.86

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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.