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Finding the Fourth Proportional to 3,691.73, 5,094.50 and 2,013.15

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Solution

The fourth proportional to 3,691.73, 5,094.50 and 2,013.15 is: 2,778.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.73 : 5,094.50 = 2,013.15 : x
  2. Step 2: Convert to fraction form
    3,691.73/5,094.50 = 2,013.15/x
  3. Step 3: Cross multiply
    3,691.73x = 5,094.50 × 2,013.15
  4. Step 4: Simplify right side
    3,691.73x = 10,255,992.68
  5. Step 5: Solve for x
    x = 10,255,992.68/3,691.73
  6. Step 6: Final answer
    x = 2,778.10

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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.