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Finding the Fourth Proportional to 3,996.26, 5,996.24 and 2,049.83

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Solution

The fourth proportional to 3,996.26, 5,996.24 and 2,049.83 is: 3,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.26 : 5,996.24 = 2,049.83 : x
  2. Step 2: Convert to fraction form
    3,996.26/5,996.24 = 2,049.83/x
  3. Step 3: Cross multiply
    3,996.26x = 5,996.24 × 2,049.83
  4. Step 4: Simplify right side
    3,996.26x = 12,291,272.64
  5. Step 5: Solve for x
    x = 12,291,272.64/3,996.26
  6. Step 6: Final answer
    x = 3,075.69

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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.