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Finding the Fourth Proportional to 3,728.88, 5,586.87 and 2,264.97

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Solution

The fourth proportional to 3,728.88, 5,586.87 and 2,264.97 is: 3,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.88 : 5,586.87 = 2,264.97 : x
  2. Step 2: Convert to fraction form
    3,728.88/5,586.87 = 2,264.97/x
  3. Step 3: Cross multiply
    3,728.88x = 5,586.87 × 2,264.97
  4. Step 4: Simplify right side
    3,728.88x = 12,654,092.94
  5. Step 5: Solve for x
    x = 12,654,092.94/3,728.88
  6. Step 6: Final answer
    x = 3,393.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.