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Finding the Fourth Proportional to 4,102.97, 5,662.13 and 2,239.97

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Solution

The fourth proportional to 4,102.97, 5,662.13 and 2,239.97 is: 3,091.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.97 : 5,662.13 = 2,239.97 : x
  2. Step 2: Convert to fraction form
    4,102.97/5,662.13 = 2,239.97/x
  3. Step 3: Cross multiply
    4,102.97x = 5,662.13 × 2,239.97
  4. Step 4: Simplify right side
    4,102.97x = 12,682,995.66
  5. Step 5: Solve for x
    x = 12,682,995.66/4,102.97
  6. Step 6: Final answer
    x = 3,091.18

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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.