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Finding the Fourth Proportional to 3,753.91, 5,182.38 and 2,912.73

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Solution

The fourth proportional to 3,753.91, 5,182.38 and 2,912.73 is: 4,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.91 : 5,182.38 = 2,912.73 : x
  2. Step 2: Convert to fraction form
    3,753.91/5,182.38 = 2,912.73/x
  3. Step 3: Cross multiply
    3,753.91x = 5,182.38 × 2,912.73
  4. Step 4: Simplify right side
    3,753.91x = 15,094,854.26
  5. Step 5: Solve for x
    x = 15,094,854.26/3,753.91
  6. Step 6: Final answer
    x = 4,021.10

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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.