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Finding the Fourth Proportional to 3,229.48, 4,847.46 and 2,255.86

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Solution

The fourth proportional to 3,229.48, 4,847.46 and 2,255.86 is: 3,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.48 : 4,847.46 = 2,255.86 : x
  2. Step 2: Convert to fraction form
    3,229.48/4,847.46 = 2,255.86/x
  3. Step 3: Cross multiply
    3,229.48x = 4,847.46 × 2,255.86
  4. Step 4: Simplify right side
    3,229.48x = 10,935,191.12
  5. Step 5: Solve for x
    x = 10,935,191.12/3,229.48
  6. Step 6: Final answer
    x = 3,386.05

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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.