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Finding the Fourth Proportional to 5,995.67, 8,997.17 and 3,657.42

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Solution

The fourth proportional to 5,995.67, 8,997.17 and 3,657.42 is: 5,488.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.67 : 8,997.17 = 3,657.42 : x
  2. Step 2: Convert to fraction form
    5,995.67/8,997.17 = 3,657.42/x
  3. Step 3: Cross multiply
    5,995.67x = 8,997.17 × 3,657.42
  4. Step 4: Simplify right side
    5,995.67x = 32,906,411.21
  5. Step 5: Solve for x
    x = 32,906,411.21/5,995.67
  6. Step 6: Final answer
    x = 5,488.37

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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.