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Finding the Fourth Proportional to 5,129.25, 7,694.64 and 1,843.11

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Solution

The fourth proportional to 5,129.25, 7,694.64 and 1,843.11 is: 2,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.25 : 7,694.64 = 1,843.11 : x
  2. Step 2: Convert to fraction form
    5,129.25/7,694.64 = 1,843.11/x
  3. Step 3: Cross multiply
    5,129.25x = 7,694.64 × 1,843.11
  4. Step 4: Simplify right side
    5,129.25x = 14,182,067.93
  5. Step 5: Solve for x
    x = 14,182,067.93/5,129.25
  6. Step 6: Final answer
    x = 2,764.94

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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.