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Finding the Fourth Proportional to 3,896.22, 5,845.42 and 1,922.44

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Solution

The fourth proportional to 3,896.22, 5,845.42 and 1,922.44 is: 2,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.22 : 5,845.42 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    3,896.22/5,845.42 = 1,922.44/x
  3. Step 3: Cross multiply
    3,896.22x = 5,845.42 × 1,922.44
  4. Step 4: Simplify right side
    3,896.22x = 11,237,469.22
  5. Step 5: Solve for x
    x = 11,237,469.22/3,896.22
  6. Step 6: Final answer
    x = 2,884.20

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1.5x scale

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.