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Finding the Fourth Proportional to 3,469.02, 5,204.74 and 2,168.97

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Solution

The fourth proportional to 3,469.02, 5,204.74 and 2,168.97 is: 3,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.02 : 5,204.74 = 2,168.97 : x
  2. Step 2: Convert to fraction form
    3,469.02/5,204.74 = 2,168.97/x
  3. Step 3: Cross multiply
    3,469.02x = 5,204.74 × 2,168.97
  4. Step 4: Simplify right side
    3,469.02x = 11,288,924.92
  5. Step 5: Solve for x
    x = 11,288,924.92/3,469.02
  6. Step 6: Final answer
    x = 3,254.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.