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Finding the Fourth Proportional to 5,122.44, 7,072.38 and 3,027.24

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Solution

The fourth proportional to 5,122.44, 7,072.38 and 3,027.24 is: 4,179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.44 : 7,072.38 = 3,027.24 : x
  2. Step 2: Convert to fraction form
    5,122.44/7,072.38 = 3,027.24/x
  3. Step 3: Cross multiply
    5,122.44x = 7,072.38 × 3,027.24
  4. Step 4: Simplify right side
    5,122.44x = 21,409,791.63
  5. Step 5: Solve for x
    x = 21,409,791.63/5,122.44
  6. Step 6: Final answer
    x = 4,179.61

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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.