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Finding the Fourth Proportional to 5,165.57, 7,745.26 and 2,046.01

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Solution

The fourth proportional to 5,165.57, 7,745.26 and 2,046.01 is: 3,067.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.57 : 7,745.26 = 2,046.01 : x
  2. Step 2: Convert to fraction form
    5,165.57/7,745.26 = 2,046.01/x
  3. Step 3: Cross multiply
    5,165.57x = 7,745.26 × 2,046.01
  4. Step 4: Simplify right side
    5,165.57x = 15,846,879.41
  5. Step 5: Solve for x
    x = 15,846,879.41/5,165.57
  6. Step 6: Final answer
    x = 3,067.79

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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.