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Finding the Fourth Proportional to 4,272.27, 5,896.02 and 2,504.44

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Solution

The fourth proportional to 4,272.27, 5,896.02 and 2,504.44 is: 3,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.27 : 5,896.02 = 2,504.44 : x
  2. Step 2: Convert to fraction form
    4,272.27/5,896.02 = 2,504.44/x
  3. Step 3: Cross multiply
    4,272.27x = 5,896.02 × 2,504.44
  4. Step 4: Simplify right side
    4,272.27x = 14,766,228.33
  5. Step 5: Solve for x
    x = 14,766,228.33/4,272.27
  6. Step 6: Final answer
    x = 3,456.30

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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.