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Finding the Fourth Proportional to 5,409.47, 8,114.21 and 2,489.82

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Solution

The fourth proportional to 5,409.47, 8,114.21 and 2,489.82 is: 3,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.47 : 8,114.21 = 2,489.82 : x
  2. Step 2: Convert to fraction form
    5,409.47/8,114.21 = 2,489.82/x
  3. Step 3: Cross multiply
    5,409.47x = 8,114.21 × 2,489.82
  4. Step 4: Simplify right side
    5,409.47x = 20,202,909.89
  5. Step 5: Solve for x
    x = 20,202,909.89/5,409.47
  6. Step 6: Final answer
    x = 3,734.73

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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.