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Finding the Fourth Proportional to 3,873.31, 5,344.51 and 2,194.37

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Solution

The fourth proportional to 3,873.31, 5,344.51 and 2,194.37 is: 3,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.31 : 5,344.51 = 2,194.37 : x
  2. Step 2: Convert to fraction form
    3,873.31/5,344.51 = 2,194.37/x
  3. Step 3: Cross multiply
    3,873.31x = 5,344.51 × 2,194.37
  4. Step 4: Simplify right side
    3,873.31x = 11,727,839.39
  5. Step 5: Solve for x
    x = 11,727,839.39/3,873.31
  6. Step 6: Final answer
    x = 3,027.86

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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.