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Finding the Fourth Proportional to 3,675.27, 5,071.88 and 1,996.68

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Solution

The fourth proportional to 3,675.27, 5,071.88 and 1,996.68 is: 2,755.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.27 : 5,071.88 = 1,996.68 : x
  2. Step 2: Convert to fraction form
    3,675.27/5,071.88 = 1,996.68/x
  3. Step 3: Cross multiply
    3,675.27x = 5,071.88 × 1,996.68
  4. Step 4: Simplify right side
    3,675.27x = 10,126,921.36
  5. Step 5: Solve for x
    x = 10,126,921.36/3,675.27
  6. Step 6: Final answer
    x = 2,755.43

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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.