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Finding the Fourth Proportional to 3,674.91, 5,071.36 and 1,996.28

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Solution

The fourth proportional to 3,674.91, 5,071.36 and 1,996.28 is: 2,754.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.91 : 5,071.36 = 1,996.28 : x
  2. Step 2: Convert to fraction form
    3,674.91/5,071.36 = 1,996.28/x
  3. Step 3: Cross multiply
    3,674.91x = 5,071.36 × 1,996.28
  4. Step 4: Simplify right side
    3,674.91x = 10,123,854.54
  5. Step 5: Solve for x
    x = 10,123,854.54/3,674.91
  6. Step 6: Final answer
    x = 2,754.86

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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.