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Finding the Fourth Proportional to 3,847.16, 5,770.89 and 1,997.09

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Solution

The fourth proportional to 3,847.16, 5,770.89 and 1,997.09 is: 2,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.16 : 5,770.89 = 1,997.09 : x
  2. Step 2: Convert to fraction form
    3,847.16/5,770.89 = 1,997.09/x
  3. Step 3: Cross multiply
    3,847.16x = 5,770.89 × 1,997.09
  4. Step 4: Simplify right side
    3,847.16x = 11,524,986.71
  5. Step 5: Solve for x
    x = 11,524,986.71/3,847.16
  6. Step 6: Final answer
    x = 2,995.71

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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.