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Finding the Fourth Proportional to 5,254.52, 7,882.92 and 3,034.80

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Solution

The fourth proportional to 5,254.52, 7,882.92 and 3,034.80 is: 4,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.52 : 7,882.92 = 3,034.80 : x
  2. Step 2: Convert to fraction form
    5,254.52/7,882.92 = 3,034.80/x
  3. Step 3: Cross multiply
    5,254.52x = 7,882.92 × 3,034.80
  4. Step 4: Simplify right side
    5,254.52x = 23,923,085.62
  5. Step 5: Solve for x
    x = 23,923,085.62/5,254.52
  6. Step 6: Final answer
    x = 4,552.86

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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.