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Finding the Fourth Proportional to 3,469.49, 4,788.78 and 2,142.44

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Solution

The fourth proportional to 3,469.49, 4,788.78 and 2,142.44 is: 2,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.49 : 4,788.78 = 2,142.44 : x
  2. Step 2: Convert to fraction form
    3,469.49/4,788.78 = 2,142.44/x
  3. Step 3: Cross multiply
    3,469.49x = 4,788.78 × 2,142.44
  4. Step 4: Simplify right side
    3,469.49x = 10,259,649.88
  5. Step 5: Solve for x
    x = 10,259,649.88/3,469.49
  6. Step 6: Final answer
    x = 2,957.11

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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.