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Finding the Fourth Proportional to 3,691.94, 5,094.84 and 2,013.37

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Solution

The fourth proportional to 3,691.94, 5,094.84 and 2,013.37 is: 2,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.94 : 5,094.84 = 2,013.37 : x
  2. Step 2: Convert to fraction form
    3,691.94/5,094.84 = 2,013.37/x
  3. Step 3: Cross multiply
    3,691.94x = 5,094.84 × 2,013.37
  4. Step 4: Simplify right side
    3,691.94x = 10,257,785.83
  5. Step 5: Solve for x
    x = 10,257,785.83/3,691.94
  6. Step 6: Final answer
    x = 2,778.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.