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Finding the Fourth Proportional to 3,872.88, 5,344.88 and 2,380.44

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Solution

The fourth proportional to 3,872.88, 5,344.88 and 2,380.44 is: 3,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.88 : 5,344.88 = 2,380.44 : x
  2. Step 2: Convert to fraction form
    3,872.88/5,344.88 = 2,380.44/x
  3. Step 3: Cross multiply
    3,872.88x = 5,344.88 × 2,380.44
  4. Step 4: Simplify right side
    3,872.88x = 12,723,166.15
  5. Step 5: Solve for x
    x = 12,723,166.15/3,872.88
  6. Step 6: Final answer
    x = 3,285.20

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1.5x scale

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.