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Finding the Fourth Proportional to 3,982.79, 5,494.82 and 2,738.63

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Solution

The fourth proportional to 3,982.79, 5,494.82 and 2,738.63 is: 3,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.79 : 5,494.82 = 2,738.63 : x
  2. Step 2: Convert to fraction form
    3,982.79/5,494.82 = 2,738.63/x
  3. Step 3: Cross multiply
    3,982.79x = 5,494.82 × 2,738.63
  4. Step 4: Simplify right side
    3,982.79x = 15,048,237.73
  5. Step 5: Solve for x
    x = 15,048,237.73/3,982.79
  6. Step 6: Final answer
    x = 3,778.32

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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.