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Finding the Fourth Proportional to 6,481.90, 9,722.82 and 2,589.04

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Solution

The fourth proportional to 6,481.90, 9,722.82 and 2,589.04 is: 3,883.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.90 : 9,722.82 = 2,589.04 : x
  2. Step 2: Convert to fraction form
    6,481.90/9,722.82 = 2,589.04/x
  3. Step 3: Cross multiply
    6,481.90x = 9,722.82 × 2,589.04
  4. Step 4: Simplify right side
    6,481.90x = 25,172,721.28
  5. Step 5: Solve for x
    x = 25,172,721.28/6,481.90
  6. Step 6: Final answer
    x = 3,883.54

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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.