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Finding the Fourth Proportional to 5,776.89, 7,972.06 and 3,259.02

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Solution

The fourth proportional to 5,776.89, 7,972.06 and 3,259.02 is: 4,497.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.89 : 7,972.06 = 3,259.02 : x
  2. Step 2: Convert to fraction form
    5,776.89/7,972.06 = 3,259.02/x
  3. Step 3: Cross multiply
    5,776.89x = 7,972.06 × 3,259.02
  4. Step 4: Simplify right side
    5,776.89x = 25,981,095.16
  5. Step 5: Solve for x
    x = 25,981,095.16/5,776.89
  6. Step 6: Final answer
    x = 4,497.42

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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.