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Finding the Fourth Proportional to 3,793.82, 5,235.17 and 2,115.09

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Solution

The fourth proportional to 3,793.82, 5,235.17 and 2,115.09 is: 2,918.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.82 : 5,235.17 = 2,115.09 : x
  2. Step 2: Convert to fraction form
    3,793.82/5,235.17 = 2,115.09/x
  3. Step 3: Cross multiply
    3,793.82x = 5,235.17 × 2,115.09
  4. Step 4: Simplify right side
    3,793.82x = 11,072,845.14
  5. Step 5: Solve for x
    x = 11,072,845.14/3,793.82
  6. Step 6: Final answer
    x = 2,918.66

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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.