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Finding the Fourth Proportional to 5,227.52, 7,843.98 and 3,473.74

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Solution

The fourth proportional to 5,227.52, 7,843.98 and 3,473.74 is: 5,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.52 : 7,843.98 = 3,473.74 : x
  2. Step 2: Convert to fraction form
    5,227.52/7,843.98 = 3,473.74/x
  3. Step 3: Cross multiply
    5,227.52x = 7,843.98 × 3,473.74
  4. Step 4: Simplify right side
    5,227.52x = 27,247,901.37
  5. Step 5: Solve for x
    x = 27,247,901.37/5,227.52
  6. Step 6: Final answer
    x = 5,212.39

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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.