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Finding the Fourth Proportional to 3,893.36, 5,344.26 and 3,441.38

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Solution

The fourth proportional to 3,893.36, 5,344.26 and 3,441.38 is: 4,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.36 : 5,344.26 = 3,441.38 : x
  2. Step 2: Convert to fraction form
    3,893.36/5,344.26 = 3,441.38/x
  3. Step 3: Cross multiply
    3,893.36x = 5,344.26 × 3,441.38
  4. Step 4: Simplify right side
    3,893.36x = 18,391,612.27
  5. Step 5: Solve for x
    x = 18,391,612.27/3,893.36
  6. Step 6: Final answer
    x = 4,723.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.