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Finding the Fourth Proportional to 3,225.96, 4,841.24 and 1,471.20

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Solution

The fourth proportional to 3,225.96, 4,841.24 and 1,471.20 is: 2,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.96 : 4,841.24 = 1,471.20 : x
  2. Step 2: Convert to fraction form
    3,225.96/4,841.24 = 1,471.20/x
  3. Step 3: Cross multiply
    3,225.96x = 4,841.24 × 1,471.20
  4. Step 4: Simplify right side
    3,225.96x = 7,122,432.29
  5. Step 5: Solve for x
    x = 7,122,432.29/3,225.96
  6. Step 6: Final answer
    x = 2,207.85

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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.