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Finding the Fourth Proportional to 3,896.78, 5,853.33 and 3,311.69

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Solution

The fourth proportional to 3,896.78, 5,853.33 and 3,311.69 is: 4,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.78 : 5,853.33 = 3,311.69 : x
  2. Step 2: Convert to fraction form
    3,896.78/5,853.33 = 3,311.69/x
  3. Step 3: Cross multiply
    3,896.78x = 5,853.33 × 3,311.69
  4. Step 4: Simplify right side
    3,896.78x = 19,384,385.16
  5. Step 5: Solve for x
    x = 19,384,385.16/3,896.78
  6. Step 6: Final answer
    x = 4,974.47

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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.