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Finding the Fourth Proportional to 3,243.97, 4,475.13 and 3,118.23

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Solution

The fourth proportional to 3,243.97, 4,475.13 and 3,118.23 is: 4,301.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,243.97 : 4,475.13 = 3,118.23 : x
  2. Step 2: Convert to fraction form
    3,243.97/4,475.13 = 3,118.23/x
  3. Step 3: Cross multiply
    3,243.97x = 4,475.13 × 3,118.23
  4. Step 4: Simplify right side
    3,243.97x = 13,954,469.03
  5. Step 5: Solve for x
    x = 13,954,469.03/3,243.97
  6. Step 6: Final answer
    x = 4,301.66

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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.