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Finding the Fourth Proportional to 4,105.31, 6,158 and 1,027.31

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Solution

The fourth proportional to 4,105.31, 6,158 and 1,027.31 is: 1,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.31 : 6,158 = 1,027.31 : x
  2. Step 2: Convert to fraction form
    4,105.31/6,158 = 1,027.31/x
  3. Step 3: Cross multiply
    4,105.31x = 6,158 × 1,027.31
  4. Step 4: Simplify right side
    4,105.31x = 6,326,174.98
  5. Step 5: Solve for x
    x = 6,326,174.98/4,105.31
  6. Step 6: Final answer
    x = 1,540.97

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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.