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Finding the Fourth Proportional to 3,489.83, 5,235.30 and 1,149.15

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Solution

The fourth proportional to 3,489.83, 5,235.30 and 1,149.15 is: 1,723.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.83 : 5,235.30 = 1,149.15 : x
  2. Step 2: Convert to fraction form
    3,489.83/5,235.30 = 1,149.15/x
  3. Step 3: Cross multiply
    3,489.83x = 5,235.30 × 1,149.15
  4. Step 4: Simplify right side
    3,489.83x = 6,016,145.00
  5. Step 5: Solve for x
    x = 6,016,145.00/3,489.83
  6. Step 6: Final answer
    x = 1,723.91

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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.