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Finding the Fourth Proportional to 3,896.85, 5,383.35 and 3,371.97

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Solution

The fourth proportional to 3,896.85, 5,383.35 and 3,371.97 is: 4,658.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.85 : 5,383.35 = 3,371.97 : x
  2. Step 2: Convert to fraction form
    3,896.85/5,383.35 = 3,371.97/x
  3. Step 3: Cross multiply
    3,896.85x = 5,383.35 × 3,371.97
  4. Step 4: Simplify right side
    3,896.85x = 18,152,514.89
  5. Step 5: Solve for x
    x = 18,152,514.89/3,896.85
  6. Step 6: Final answer
    x = 4,658.25

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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.