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Finding the Fourth Proportional to 3,871.26, 5,343 and 2,299.44

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Solution

The fourth proportional to 3,871.26, 5,343 and 2,299.44 is: 3,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.26 : 5,343 = 2,299.44 : x
  2. Step 2: Convert to fraction form
    3,871.26/5,343 = 2,299.44/x
  3. Step 3: Cross multiply
    3,871.26x = 5,343 × 2,299.44
  4. Step 4: Simplify right side
    3,871.26x = 12,285,907.92
  5. Step 5: Solve for x
    x = 12,285,907.92/3,871.26
  6. Step 6: Final answer
    x = 3,173.62

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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.