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Finding the Fourth Proportional to 3,856.26, 5,321.32 and 2,262.74

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Solution

The fourth proportional to 3,856.26, 5,321.32 and 2,262.74 is: 3,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.26 : 5,321.32 = 2,262.74 : x
  2. Step 2: Convert to fraction form
    3,856.26/5,321.32 = 2,262.74/x
  3. Step 3: Cross multiply
    3,856.26x = 5,321.32 × 2,262.74
  4. Step 4: Simplify right side
    3,856.26x = 12,040,752.30
  5. Step 5: Solve for x
    x = 12,040,752.30/3,856.26
  6. Step 6: Final answer
    x = 3,122.39

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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.