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Finding the Fourth Proportional to 4,255.43, 5,872.43 and 2,367

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Solution

The fourth proportional to 4,255.43, 5,872.43 and 2,367 is: 3,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.43 : 5,872.43 = 2,367 : x
  2. Step 2: Convert to fraction form
    4,255.43/5,872.43 = 2,367/x
  3. Step 3: Cross multiply
    4,255.43x = 5,872.43 × 2,367
  4. Step 4: Simplify right side
    4,255.43x = 13,900,047.73
  5. Step 5: Solve for x
    x = 13,900,047.73/4,255.43
  6. Step 6: Final answer
    x = 3,266.43

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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.