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Finding the Fourth Proportional to 3,872.34, 5,343.92 and 2,300.44

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Solution

The fourth proportional to 3,872.34, 5,343.92 and 2,300.44 is: 3,174.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.34 : 5,343.92 = 2,300.44 : x
  2. Step 2: Convert to fraction form
    3,872.34/5,343.92 = 2,300.44/x
  3. Step 3: Cross multiply
    3,872.34x = 5,343.92 × 2,300.44
  4. Step 4: Simplify right side
    3,872.34x = 12,293,367.32
  5. Step 5: Solve for x
    x = 12,293,367.32/3,872.34
  6. Step 6: Final answer
    x = 3,174.66

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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.