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Finding the Fourth Proportional to 5,997.69, 8,997.29 and 2,049.70

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Solution

The fourth proportional to 5,997.69, 8,997.29 and 2,049.70 is: 3,074.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.69 : 8,997.29 = 2,049.70 : x
  2. Step 2: Convert to fraction form
    5,997.69/8,997.29 = 2,049.70/x
  3. Step 3: Cross multiply
    5,997.69x = 8,997.29 × 2,049.70
  4. Step 4: Simplify right side
    5,997.69x = 18,441,727.94
  5. Step 5: Solve for x
    x = 18,441,727.94/5,997.69
  6. Step 6: Final answer
    x = 3,074.81

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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.