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Finding the Fourth Proportional to 3,893.27, 5,839.49 and 1,296.41

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Solution

The fourth proportional to 3,893.27, 5,839.49 and 1,296.41 is: 1,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.27 : 5,839.49 = 1,296.41 : x
  2. Step 2: Convert to fraction form
    3,893.27/5,839.49 = 1,296.41/x
  3. Step 3: Cross multiply
    3,893.27x = 5,839.49 × 1,296.41
  4. Step 4: Simplify right side
    3,893.27x = 7,570,347.27
  5. Step 5: Solve for x
    x = 7,570,347.27/3,893.27
  6. Step 6: Final answer
    x = 1,944.47

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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.