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Finding the Fourth Proportional to 5,227.96, 7,843.56 and 2,306.56

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Solution

The fourth proportional to 5,227.96, 7,843.56 and 2,306.56 is: 3,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.96 : 7,843.56 = 2,306.56 : x
  2. Step 2: Convert to fraction form
    5,227.96/7,843.56 = 2,306.56/x
  3. Step 3: Cross multiply
    5,227.96x = 7,843.56 × 2,306.56
  4. Step 4: Simplify right side
    5,227.96x = 18,091,641.75
  5. Step 5: Solve for x
    x = 18,091,641.75/5,227.96
  6. Step 6: Final answer
    x = 3,460.55

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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.