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Finding the Fourth Proportional to 3,469.67, 4,789.04 and 2,142.62

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Solution

The fourth proportional to 3,469.67, 4,789.04 and 2,142.62 is: 2,957.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.67 : 4,789.04 = 2,142.62 : x
  2. Step 2: Convert to fraction form
    3,469.67/4,789.04 = 2,142.62/x
  3. Step 3: Cross multiply
    3,469.67x = 4,789.04 × 2,142.62
  4. Step 4: Simplify right side
    3,469.67x = 10,261,088.24
  5. Step 5: Solve for x
    x = 10,261,088.24/3,469.67
  6. Step 6: Final answer
    x = 2,957.36

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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.