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Finding the Fourth Proportional to 5,785.55, 7,984.03 and 3,132.97

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Solution

The fourth proportional to 5,785.55, 7,984.03 and 3,132.97 is: 4,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.55 : 7,984.03 = 3,132.97 : x
  2. Step 2: Convert to fraction form
    5,785.55/7,984.03 = 3,132.97/x
  3. Step 3: Cross multiply
    5,785.55x = 7,984.03 × 3,132.97
  4. Step 4: Simplify right side
    5,785.55x = 25,013,726.47
  5. Step 5: Solve for x
    x = 25,013,726.47/5,785.55
  6. Step 6: Final answer
    x = 4,323.48

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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.