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Finding the Fourth Proportional to 4,094.44, 5,650.32 and 2,231.44

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Solution

The fourth proportional to 4,094.44, 5,650.32 and 2,231.44 is: 3,079.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,094.44 : 5,650.32 = 2,231.44 : x
  2. Step 2: Convert to fraction form
    4,094.44/5,650.32 = 2,231.44/x
  3. Step 3: Cross multiply
    4,094.44x = 5,650.32 × 2,231.44
  4. Step 4: Simplify right side
    4,094.44x = 12,608,344.30
  5. Step 5: Solve for x
    x = 12,608,344.30/4,094.44
  6. Step 6: Final answer
    x = 3,079.38

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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.