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Finding the Fourth Proportional to 3,998.10, 5,996.19 and 2,049.30

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Solution

The fourth proportional to 3,998.10, 5,996.19 and 2,049.30 is: 3,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.10 : 5,996.19 = 2,049.30 : x
  2. Step 2: Convert to fraction form
    3,998.10/5,996.19 = 2,049.30/x
  3. Step 3: Cross multiply
    3,998.10x = 5,996.19 × 2,049.30
  4. Step 4: Simplify right side
    3,998.10x = 12,287,992.17
  5. Step 5: Solve for x
    x = 12,287,992.17/3,998.10
  6. Step 6: Final answer
    x = 3,073.46

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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.