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Finding the Fourth Proportional to 3,691.83, 5,094.82 and 2,098.23

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Solution

The fourth proportional to 3,691.83, 5,094.82 and 2,098.23 is: 2,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.83 : 5,094.82 = 2,098.23 : x
  2. Step 2: Convert to fraction form
    3,691.83/5,094.82 = 2,098.23/x
  3. Step 3: Cross multiply
    3,691.83x = 5,094.82 × 2,098.23
  4. Step 4: Simplify right side
    3,691.83x = 10,690,093.68
  5. Step 5: Solve for x
    x = 10,690,093.68/3,691.83
  6. Step 6: Final answer
    x = 2,895.61

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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.