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Finding the Fourth Proportional to 3,896.30, 5,835.12 and 2,839.28

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Solution

The fourth proportional to 3,896.30, 5,835.12 and 2,839.28 is: 4,252.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.30 : 5,835.12 = 2,839.28 : x
  2. Step 2: Convert to fraction form
    3,896.30/5,835.12 = 2,839.28/x
  3. Step 3: Cross multiply
    3,896.30x = 5,835.12 × 2,839.28
  4. Step 4: Simplify right side
    3,896.30x = 16,567,556.69
  5. Step 5: Solve for x
    x = 16,567,556.69/3,896.30
  6. Step 6: Final answer
    x = 4,252.12

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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.