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Finding the Fourth Proportional to 3,276.38, 4,915.40 and 967.88

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Solution

The fourth proportional to 3,276.38, 4,915.40 and 967.88 is: 1,452.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,276.38 : 4,915.40 = 967.88 : x
  2. Step 2: Convert to fraction form
    3,276.38/4,915.40 = 967.88/x
  3. Step 3: Cross multiply
    3,276.38x = 4,915.40 × 967.88
  4. Step 4: Simplify right side
    3,276.38x = 4,757,517.35
  5. Step 5: Solve for x
    x = 4,757,517.35/3,276.38
  6. Step 6: Final answer
    x = 1,452.07

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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.