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Finding the Fourth Proportional to 3,847.16, 5,772.54 and 1,997.27

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Solution

The fourth proportional to 3,847.16, 5,772.54 and 1,997.27 is: 2,996.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.16 : 5,772.54 = 1,997.27 : x
  2. Step 2: Convert to fraction form
    3,847.16/5,772.54 = 1,997.27/x
  3. Step 3: Cross multiply
    3,847.16x = 5,772.54 × 1,997.27
  4. Step 4: Simplify right side
    3,847.16x = 11,529,320.97
  5. Step 5: Solve for x
    x = 11,529,320.97/3,847.16
  6. Step 6: Final answer
    x = 2,996.84

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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.