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Finding the Fourth Proportional to 6,285.97, 8,675.10 and 3,896.41

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Solution

The fourth proportional to 6,285.97, 8,675.10 and 3,896.41 is: 5,377.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.97 : 8,675.10 = 3,896.41 : x
  2. Step 2: Convert to fraction form
    6,285.97/8,675.10 = 3,896.41/x
  3. Step 3: Cross multiply
    6,285.97x = 8,675.10 × 3,896.41
  4. Step 4: Simplify right side
    6,285.97x = 33,801,683.53
  5. Step 5: Solve for x
    x = 33,801,683.53/6,285.97
  6. Step 6: Final answer
    x = 5,377.33

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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.