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Finding the Fourth Proportional to 5,997.87, 8,996.81 and 2,102.31

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Solution

The fourth proportional to 5,997.87, 8,996.81 and 2,102.31 is: 3,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.87 : 8,996.81 = 2,102.31 : x
  2. Step 2: Convert to fraction form
    5,997.87/8,996.81 = 2,102.31/x
  3. Step 3: Cross multiply
    5,997.87x = 8,996.81 × 2,102.31
  4. Step 4: Simplify right side
    5,997.87x = 18,914,073.12
  5. Step 5: Solve for x
    x = 18,914,073.12/5,997.87
  6. Step 6: Final answer
    x = 3,153.47

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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.