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Finding the Fourth Proportional to 3,761.78, 5,191.38 and 2,083.28

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Solution

The fourth proportional to 3,761.78, 5,191.38 and 2,083.28 is: 2,874.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.78 : 5,191.38 = 2,083.28 : x
  2. Step 2: Convert to fraction form
    3,761.78/5,191.38 = 2,083.28/x
  3. Step 3: Cross multiply
    3,761.78x = 5,191.38 × 2,083.28
  4. Step 4: Simplify right side
    3,761.78x = 10,815,072.17
  5. Step 5: Solve for x
    x = 10,815,072.17/3,761.78
  6. Step 6: Final answer
    x = 2,874.99

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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.