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Finding the Fourth Proportional to 5,227.97, 7,843.33 and 3,034.60

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Solution

The fourth proportional to 5,227.97, 7,843.33 and 3,034.60 is: 4,552.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.97 : 7,843.33 = 3,034.60 : x
  2. Step 2: Convert to fraction form
    5,227.97/7,843.33 = 3,034.60/x
  3. Step 3: Cross multiply
    5,227.97x = 7,843.33 × 3,034.60
  4. Step 4: Simplify right side
    5,227.97x = 23,801,369.22
  5. Step 5: Solve for x
    x = 23,801,369.22/5,227.97
  6. Step 6: Final answer
    x = 4,552.70

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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.