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Finding the Fourth Proportional to 5,932.26, 8,899.97 and 1,772.28

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Solution

The fourth proportional to 5,932.26, 8,899.97 and 1,772.28 is: 2,658.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.26 : 8,899.97 = 1,772.28 : x
  2. Step 2: Convert to fraction form
    5,932.26/8,899.97 = 1,772.28/x
  3. Step 3: Cross multiply
    5,932.26x = 8,899.97 × 1,772.28
  4. Step 4: Simplify right side
    5,932.26x = 15,773,229.97
  5. Step 5: Solve for x
    x = 15,773,229.97/5,932.26
  6. Step 6: Final answer
    x = 2,658.89

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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.