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Finding the Fourth Proportional to 3,964.49, 5,469.76 and 2,638.42

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Solution

The fourth proportional to 3,964.49, 5,469.76 and 2,638.42 is: 3,640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.49 : 5,469.76 = 2,638.42 : x
  2. Step 2: Convert to fraction form
    3,964.49/5,469.76 = 2,638.42/x
  3. Step 3: Cross multiply
    3,964.49x = 5,469.76 × 2,638.42
  4. Step 4: Simplify right side
    3,964.49x = 14,431,513.80
  5. Step 5: Solve for x
    x = 14,431,513.80/3,964.49
  6. Step 6: Final answer
    x = 3,640.20

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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.