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Finding the Fourth Proportional to 3,652.38, 5,040.40 and 1,996.38

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Solution

The fourth proportional to 3,652.38, 5,040.40 and 1,996.38 is: 2,755.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.38 : 5,040.40 = 1,996.38 : x
  2. Step 2: Convert to fraction form
    3,652.38/5,040.40 = 1,996.38/x
  3. Step 3: Cross multiply
    3,652.38x = 5,040.40 × 1,996.38
  4. Step 4: Simplify right side
    3,652.38x = 10,062,553.75
  5. Step 5: Solve for x
    x = 10,062,553.75/3,652.38
  6. Step 6: Final answer
    x = 2,755.07

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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.