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Finding the Fourth Proportional to 3,753.85, 5,180.31 and 2,097.85

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Solution

The fourth proportional to 3,753.85, 5,180.31 and 2,097.85 is: 2,895.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.85 : 5,180.31 = 2,097.85 : x
  2. Step 2: Convert to fraction form
    3,753.85/5,180.31 = 2,097.85/x
  3. Step 3: Cross multiply
    3,753.85x = 5,180.31 × 2,097.85
  4. Step 4: Simplify right side
    3,753.85x = 10,867,500.38
  5. Step 5: Solve for x
    x = 10,867,500.38/3,753.85
  6. Step 6: Final answer
    x = 2,895.03

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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.