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Finding the Fourth Proportional to 3,872.39, 5,344.36 and 2,300.49

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Solution

The fourth proportional to 3,872.39, 5,344.36 and 2,300.49 is: 3,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,344.36 = 2,300.49 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,344.36 = 2,300.49/x
  3. Step 3: Cross multiply
    3,872.39x = 5,344.36 × 2,300.49
  4. Step 4: Simplify right side
    3,872.39x = 12,294,620.94
  5. Step 5: Solve for x
    x = 12,294,620.94/3,872.39
  6. Step 6: Final answer
    x = 3,174.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.