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Finding the Fourth Proportional to 3,932.25, 5,891.06 and 2,833.89

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Solution

The fourth proportional to 3,932.25, 5,891.06 and 2,833.89 is: 4,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932.25 : 5,891.06 = 2,833.89 : x
  2. Step 2: Convert to fraction form
    3,932.25/5,891.06 = 2,833.89/x
  3. Step 3: Cross multiply
    3,932.25x = 5,891.06 × 2,833.89
  4. Step 4: Simplify right side
    3,932.25x = 16,694,601.85
  5. Step 5: Solve for x
    x = 16,694,601.85/3,932.25
  6. Step 6: Final answer
    x = 4,245.56

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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.