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Finding the Fourth Proportional to 4,728.34, 6,524.04 and 2,738.44

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Solution

The fourth proportional to 4,728.34, 6,524.04 and 2,738.44 is: 3,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.34 : 6,524.04 = 2,738.44 : x
  2. Step 2: Convert to fraction form
    4,728.34/6,524.04 = 2,738.44/x
  3. Step 3: Cross multiply
    4,728.34x = 6,524.04 × 2,738.44
  4. Step 4: Simplify right side
    4,728.34x = 17,865,692.10
  5. Step 5: Solve for x
    x = 17,865,692.10/4,728.34
  6. Step 6: Final answer
    x = 3,778.43

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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.