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Finding the Fourth Proportional to 3,896.92, 5,845.22 and 2,164.44

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Solution

The fourth proportional to 3,896.92, 5,845.22 and 2,164.44 is: 3,246.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.92 : 5,845.22 = 2,164.44 : x
  2. Step 2: Convert to fraction form
    3,896.92/5,845.22 = 2,164.44/x
  3. Step 3: Cross multiply
    3,896.92x = 5,845.22 × 2,164.44
  4. Step 4: Simplify right side
    3,896.92x = 12,651,627.98
  5. Step 5: Solve for x
    x = 12,651,627.98/3,896.92
  6. Step 6: Final answer
    x = 3,246.57

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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.