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Finding the Fourth Proportional to 3,281, 4,915.50 and 2,579.72

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Solution

The fourth proportional to 3,281, 4,915.50 and 2,579.72 is: 3,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281 : 4,915.50 = 2,579.72 : x
  2. Step 2: Convert to fraction form
    3,281/4,915.50 = 2,579.72/x
  3. Step 3: Cross multiply
    3,281x = 4,915.50 × 2,579.72
  4. Step 4: Simplify right side
    3,281x = 12,680,613.66
  5. Step 5: Solve for x
    x = 12,680,613.66/3,281
  6. Step 6: Final answer
    x = 3,864.86

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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.