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Finding the Fourth Proportional to 3,187.31, 4,755.38 and 2,836.49

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Solution

The fourth proportional to 3,187.31, 4,755.38 and 2,836.49 is: 4,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.31 : 4,755.38 = 2,836.49 : x
  2. Step 2: Convert to fraction form
    3,187.31/4,755.38 = 2,836.49/x
  3. Step 3: Cross multiply
    3,187.31x = 4,755.38 × 2,836.49
  4. Step 4: Simplify right side
    3,187.31x = 13,488,549.86
  5. Step 5: Solve for x
    x = 13,488,549.86/3,187.31
  6. Step 6: Final answer
    x = 4,231.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.