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Finding the Fourth Proportional to 3,227.86, 4,842.78 and 2,348.74

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Solution

The fourth proportional to 3,227.86, 4,842.78 and 2,348.74 is: 3,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.86 : 4,842.78 = 2,348.74 : x
  2. Step 2: Convert to fraction form
    3,227.86/4,842.78 = 2,348.74/x
  3. Step 3: Cross multiply
    3,227.86x = 4,842.78 × 2,348.74
  4. Step 4: Simplify right side
    3,227.86x = 11,374,431.10
  5. Step 5: Solve for x
    x = 11,374,431.10/3,227.86
  6. Step 6: Final answer
    x = 3,523.83

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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.