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Finding the Fourth Proportional to 5,997.97, 8,996.96 and 3,659.10

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Solution

The fourth proportional to 5,997.97, 8,996.96 and 3,659.10 is: 5,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.97 : 8,996.96 = 3,659.10 : x
  2. Step 2: Convert to fraction form
    5,997.97/8,996.96 = 3,659.10/x
  3. Step 3: Cross multiply
    5,997.97x = 8,996.96 × 3,659.10
  4. Step 4: Simplify right side
    5,997.97x = 32,920,776.34
  5. Step 5: Solve for x
    x = 32,920,776.34/5,997.97
  6. Step 6: Final answer
    x = 5,488.65

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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.