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Finding the Fourth Proportional to 3,674.83, 5,071.32 and 1,996.27

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Solution

The fourth proportional to 3,674.83, 5,071.32 and 1,996.27 is: 2,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.83 : 5,071.32 = 1,996.27 : x
  2. Step 2: Convert to fraction form
    3,674.83/5,071.32 = 1,996.27/x
  3. Step 3: Cross multiply
    3,674.83x = 5,071.32 × 1,996.27
  4. Step 4: Simplify right side
    3,674.83x = 10,123,723.98
  5. Step 5: Solve for x
    x = 10,123,723.98/3,674.83
  6. Step 6: Final answer
    x = 2,754.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.