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Finding the Fourth Proportional to 3,968.29, 5,463.78 and 3,369.54

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Solution

The fourth proportional to 3,968.29, 5,463.78 and 3,369.54 is: 4,639.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.29 : 5,463.78 = 3,369.54 : x
  2. Step 2: Convert to fraction form
    3,968.29/5,463.78 = 3,369.54/x
  3. Step 3: Cross multiply
    3,968.29x = 5,463.78 × 3,369.54
  4. Step 4: Simplify right side
    3,968.29x = 18,410,425.26
  5. Step 5: Solve for x
    x = 18,410,425.26/3,968.29
  6. Step 6: Final answer
    x = 4,639.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.