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Finding the Fourth Proportional to 3,408.26, 4,703.32 and 2,229.31

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Solution

The fourth proportional to 3,408.26, 4,703.32 and 2,229.31 is: 3,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408.26 : 4,703.32 = 2,229.31 : x
  2. Step 2: Convert to fraction form
    3,408.26/4,703.32 = 2,229.31/x
  3. Step 3: Cross multiply
    3,408.26x = 4,703.32 × 2,229.31
  4. Step 4: Simplify right side
    3,408.26x = 10,485,149.34
  5. Step 5: Solve for x
    x = 10,485,149.34/3,408.26
  6. Step 6: Final answer
    x = 3,076.39

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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.