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Finding the Fourth Proportional to 3,464, 4,781.76 and 2,469.44

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Solution

The fourth proportional to 3,464, 4,781.76 and 2,469.44 is: 3,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464 : 4,781.76 = 2,469.44 : x
  2. Step 2: Convert to fraction form
    3,464/4,781.76 = 2,469.44/x
  3. Step 3: Cross multiply
    3,464x = 4,781.76 × 2,469.44
  4. Step 4: Simplify right side
    3,464x = 11,808,269.41
  5. Step 5: Solve for x
    x = 11,808,269.41/3,464
  6. Step 6: Final answer
    x = 3,408.85

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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.