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Finding the Fourth Proportional to 4,253.80, 5,865.32 and 3,896.60

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Solution

The fourth proportional to 4,253.80, 5,865.32 and 3,896.60 is: 5,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.80 : 5,865.32 = 3,896.60 : x
  2. Step 2: Convert to fraction form
    4,253.80/5,865.32 = 3,896.60/x
  3. Step 3: Cross multiply
    4,253.80x = 5,865.32 × 3,896.60
  4. Step 4: Simplify right side
    4,253.80x = 22,854,805.91
  5. Step 5: Solve for x
    x = 22,854,805.91/4,253.80
  6. Step 6: Final answer
    x = 5,372.80

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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.