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Finding the Fourth Proportional to 4,273.66, 5,893.05 and 3,709.29

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Solution

The fourth proportional to 4,273.66, 5,893.05 and 3,709.29 is: 5,114.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,273.66 : 5,893.05 = 3,709.29 : x
  2. Step 2: Convert to fraction form
    4,273.66/5,893.05 = 3,709.29/x
  3. Step 3: Cross multiply
    4,273.66x = 5,893.05 × 3,709.29
  4. Step 4: Simplify right side
    4,273.66x = 21,859,067.44
  5. Step 5: Solve for x
    x = 21,859,067.44/4,273.66
  6. Step 6: Final answer
    x = 5,114.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.