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Finding the Fourth Proportional to 3,872.72, 5,342.46 and 2,299.68

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Solution

The fourth proportional to 3,872.72, 5,342.46 and 2,299.68 is: 3,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.72 : 5,342.46 = 2,299.68 : x
  2. Step 2: Convert to fraction form
    3,872.72/5,342.46 = 2,299.68/x
  3. Step 3: Cross multiply
    3,872.72x = 5,342.46 × 2,299.68
  4. Step 4: Simplify right side
    3,872.72x = 12,285,948.41
  5. Step 5: Solve for x
    x = 12,285,948.41/3,872.72
  6. Step 6: Final answer
    x = 3,172.43

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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.