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Finding the Fourth Proportional to 3,674.86, 5,071.32 and 1,996.28

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Solution

The fourth proportional to 3,674.86, 5,071.32 and 1,996.28 is: 2,754.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.86 : 5,071.32 = 1,996.28 : x
  2. Step 2: Convert to fraction form
    3,674.86/5,071.32 = 1,996.28/x
  3. Step 3: Cross multiply
    3,674.86x = 5,071.32 × 1,996.28
  4. Step 4: Simplify right side
    3,674.86x = 10,123,749.33
  5. Step 5: Solve for x
    x = 10,123,749.33/3,674.86
  6. Step 6: Final answer
    x = 2,754.87

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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.