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Finding the Fourth Proportional to 3,489.03, 5,234.18 and 1,149.17

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Solution

The fourth proportional to 3,489.03, 5,234.18 and 1,149.17 is: 1,723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.03 : 5,234.18 = 1,149.17 : x
  2. Step 2: Convert to fraction form
    3,489.03/5,234.18 = 1,149.17/x
  3. Step 3: Cross multiply
    3,489.03x = 5,234.18 × 1,149.17
  4. Step 4: Simplify right side
    3,489.03x = 6,014,930.71
  5. Step 5: Solve for x
    x = 6,014,930.71/3,489.03
  6. Step 6: Final answer
    x = 1,723.96

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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.