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Finding the Fourth Proportional to 3,997.90, 5,996.83 and 1,076.20

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Solution

The fourth proportional to 3,997.90, 5,996.83 and 1,076.20 is: 1,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.90 : 5,996.83 = 1,076.20 : x
  2. Step 2: Convert to fraction form
    3,997.90/5,996.83 = 1,076.20/x
  3. Step 3: Cross multiply
    3,997.90x = 5,996.83 × 1,076.20
  4. Step 4: Simplify right side
    3,997.90x = 6,453,788.45
  5. Step 5: Solve for x
    x = 6,453,788.45/3,997.90
  6. Step 6: Final answer
    x = 1,614.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.