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Finding the Fourth Proportional to 2,587.34, 3,882 and 2,579.24

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Solution

The fourth proportional to 2,587.34, 3,882 and 2,579.24 is: 3,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.34 : 3,882 = 2,579.24 : x
  2. Step 2: Convert to fraction form
    2,587.34/3,882 = 2,579.24/x
  3. Step 3: Cross multiply
    2,587.34x = 3,882 × 2,579.24
  4. Step 4: Simplify right side
    2,587.34x = 10,012,609.68
  5. Step 5: Solve for x
    x = 10,012,609.68/2,587.34
  6. Step 6: Final answer
    x = 3,869.85

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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.