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Finding the Fourth Proportional to 3,839.36, 5,296 and 2,906.24

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Solution

The fourth proportional to 3,839.36, 5,296 and 2,906.24 is: 4,008.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.36 : 5,296 = 2,906.24 : x
  2. Step 2: Convert to fraction form
    3,839.36/5,296 = 2,906.24/x
  3. Step 3: Cross multiply
    3,839.36x = 5,296 × 2,906.24
  4. Step 4: Simplify right side
    3,839.36x = 15,391,447.04
  5. Step 5: Solve for x
    x = 15,391,447.04/3,839.36
  6. Step 6: Final answer
    x = 4,008.86

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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.