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Finding the Fourth Proportional to 3,796.44, 5,239.12 and 2,224.58

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Solution

The fourth proportional to 3,796.44, 5,239.12 and 2,224.58 is: 3,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.44 : 5,239.12 = 2,224.58 : x
  2. Step 2: Convert to fraction form
    3,796.44/5,239.12 = 2,224.58/x
  3. Step 3: Cross multiply
    3,796.44x = 5,239.12 × 2,224.58
  4. Step 4: Simplify right side
    3,796.44x = 11,654,841.57
  5. Step 5: Solve for x
    x = 11,654,841.57/3,796.44
  6. Step 6: Final answer
    x = 3,069.94

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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.