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Finding the Fourth Proportional to 3,867.37, 5,339.99 and 2,375.96

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Solution

The fourth proportional to 3,867.37, 5,339.99 and 2,375.96 is: 3,280.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.37 : 5,339.99 = 2,375.96 : x
  2. Step 2: Convert to fraction form
    3,867.37/5,339.99 = 2,375.96/x
  3. Step 3: Cross multiply
    3,867.37x = 5,339.99 × 2,375.96
  4. Step 4: Simplify right side
    3,867.37x = 12,687,581.88
  5. Step 5: Solve for x
    x = 12,687,581.88/3,867.37
  6. Step 6: Final answer
    x = 3,280.68

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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.