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Finding the Fourth Proportional to 5,018.44, 6,922.44 and 3,027.82

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Solution

The fourth proportional to 5,018.44, 6,922.44 and 3,027.82 is: 4,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,018.44 : 6,922.44 = 3,027.82 : x
  2. Step 2: Convert to fraction form
    5,018.44/6,922.44 = 3,027.82/x
  3. Step 3: Cross multiply
    5,018.44x = 6,922.44 × 3,027.82
  4. Step 4: Simplify right side
    5,018.44x = 20,959,902.28
  5. Step 5: Solve for x
    x = 20,959,902.28/5,018.44
  6. Step 6: Final answer
    x = 4,176.58

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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.