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Finding the Fourth Proportional to 5,776.97, 7,972.17 and 3,259.05

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Solution

The fourth proportional to 5,776.97, 7,972.17 and 3,259.05 is: 4,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.97 : 7,972.17 = 3,259.05 : x
  2. Step 2: Convert to fraction form
    5,776.97/7,972.17 = 3,259.05/x
  3. Step 3: Cross multiply
    5,776.97x = 7,972.17 × 3,259.05
  4. Step 4: Simplify right side
    5,776.97x = 25,981,721.70
  5. Step 5: Solve for x
    x = 25,981,721.70/5,776.97
  6. Step 6: Final answer
    x = 4,497.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.