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Finding the Fourth Proportional to 3,675.54, 5,072.28 and 1,996.97

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Solution

The fourth proportional to 3,675.54, 5,072.28 and 1,996.97 is: 2,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.54 : 5,072.28 = 1,996.97 : x
  2. Step 2: Convert to fraction form
    3,675.54/5,072.28 = 1,996.97/x
  3. Step 3: Cross multiply
    3,675.54x = 5,072.28 × 1,996.97
  4. Step 4: Simplify right side
    3,675.54x = 10,129,158.14
  5. Step 5: Solve for x
    x = 10,129,158.14/3,675.54
  6. Step 6: Final answer
    x = 2,755.83

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1.5x scale

Why These Related Problems?

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