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Finding the Fourth Proportional to 5,776.92, 7,972.13 and 3,259.01

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Solution

The fourth proportional to 5,776.92, 7,972.13 and 3,259.01 is: 4,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.92 : 7,972.13 = 3,259.01 : x
  2. Step 2: Convert to fraction form
    5,776.92/7,972.13 = 3,259.01/x
  3. Step 3: Cross multiply
    5,776.92x = 7,972.13 × 3,259.01
  4. Step 4: Simplify right side
    5,776.92x = 25,981,279.47
  5. Step 5: Solve for x
    x = 25,981,279.47/5,776.92
  6. Step 6: Final answer
    x = 4,497.43

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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.