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Finding the Fourth Proportional to 5,105.31, 7,650.79 and 4,060.68

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Solution

The fourth proportional to 5,105.31, 7,650.79 and 4,060.68 is: 6,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,105.31 : 7,650.79 = 4,060.68 : x
  2. Step 2: Convert to fraction form
    5,105.31/7,650.79 = 4,060.68/x
  3. Step 3: Cross multiply
    5,105.31x = 7,650.79 × 4,060.68
  4. Step 4: Simplify right side
    5,105.31x = 31,067,414.13
  5. Step 5: Solve for x
    x = 31,067,414.13/5,105.31
  6. Step 6: Final answer
    x = 6,085.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.