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Finding the Fourth Proportional to 5,489.75, 7,575.86 and 3,132.65

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Solution

The fourth proportional to 5,489.75, 7,575.86 and 3,132.65 is: 4,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.75 : 7,575.86 = 3,132.65 : x
  2. Step 2: Convert to fraction form
    5,489.75/7,575.86 = 3,132.65/x
  3. Step 3: Cross multiply
    5,489.75x = 7,575.86 × 3,132.65
  4. Step 4: Simplify right side
    5,489.75x = 23,732,517.83
  5. Step 5: Solve for x
    x = 23,732,517.83/5,489.75
  6. Step 6: Final answer
    x = 4,323.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.