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Finding the Fourth Proportional to 3,876, 5,342.37 and 2,967.20

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Solution

The fourth proportional to 3,876, 5,342.37 and 2,967.20 is: 4,089.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876 : 5,342.37 = 2,967.20 : x
  2. Step 2: Convert to fraction form
    3,876/5,342.37 = 2,967.20/x
  3. Step 3: Cross multiply
    3,876x = 5,342.37 × 2,967.20
  4. Step 4: Simplify right side
    3,876x = 15,851,853.55
  5. Step 5: Solve for x
    x = 15,851,853.55/3,876
  6. Step 6: Final answer
    x = 4,089.75

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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.