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Finding the Fourth Proportional to 5,100.62, 7,642.20 and 3,989.61

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Solution

The fourth proportional to 5,100.62, 7,642.20 and 3,989.61 is: 5,977.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.62 : 7,642.20 = 3,989.61 : x
  2. Step 2: Convert to fraction form
    5,100.62/7,642.20 = 3,989.61/x
  3. Step 3: Cross multiply
    5,100.62x = 7,642.20 × 3,989.61
  4. Step 4: Simplify right side
    5,100.62x = 30,489,397.54
  5. Step 5: Solve for x
    x = 30,489,397.54/5,100.62
  6. Step 6: Final answer
    x = 5,977.59

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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.