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Finding the Fourth Proportional to 5,227.31, 7,843.66 and 3,473.53

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Solution

The fourth proportional to 5,227.31, 7,843.66 and 3,473.53 is: 5,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.31 : 7,843.66 = 3,473.53 : x
  2. Step 2: Convert to fraction form
    5,227.31/7,843.66 = 3,473.53/x
  3. Step 3: Cross multiply
    5,227.31x = 7,843.66 × 3,473.53
  4. Step 4: Simplify right side
    5,227.31x = 27,245,160.03
  5. Step 5: Solve for x
    x = 27,245,160.03/5,227.31
  6. Step 6: Final answer
    x = 5,212.08

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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.