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Finding the Fourth Proportional to 3,872.27, 5,342.03 and 2,299.46

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Solution

The fourth proportional to 3,872.27, 5,342.03 and 2,299.46 is: 3,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.27 : 5,342.03 = 2,299.46 : x
  2. Step 2: Convert to fraction form
    3,872.27/5,342.03 = 2,299.46/x
  3. Step 3: Cross multiply
    3,872.27x = 5,342.03 × 2,299.46
  4. Step 4: Simplify right side
    3,872.27x = 12,283,746.10
  5. Step 5: Solve for x
    x = 12,283,746.10/3,872.27
  6. Step 6: Final answer
    x = 3,172.24

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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.