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Finding the Fourth Proportional to 3,271, 4,510.88 and 2,523.78

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Solution

The fourth proportional to 3,271, 4,510.88 and 2,523.78 is: 3,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,271 : 4,510.88 = 2,523.78 : x
  2. Step 2: Convert to fraction form
    3,271/4,510.88 = 2,523.78/x
  3. Step 3: Cross multiply
    3,271x = 4,510.88 × 2,523.78
  4. Step 4: Simplify right side
    3,271x = 11,384,468.73
  5. Step 5: Solve for x
    x = 11,384,468.73/3,271
  6. Step 6: Final answer
    x = 3,480.42

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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.