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Finding the Fourth Proportional to 4,001.12, 5,996.12 and 2,049.20

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Solution

The fourth proportional to 4,001.12, 5,996.12 and 2,049.20 is: 3,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,001.12 : 5,996.12 = 2,049.20 : x
  2. Step 2: Convert to fraction form
    4,001.12/5,996.12 = 2,049.20/x
  3. Step 3: Cross multiply
    4,001.12x = 5,996.12 × 2,049.20
  4. Step 4: Simplify right side
    4,001.12x = 12,287,249.10
  5. Step 5: Solve for x
    x = 12,287,249.10/4,001.12
  6. Step 6: Final answer
    x = 3,070.95

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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.