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Finding the Fourth Proportional to 3,469.92, 5,206.08 and 2,169.84

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Solution

The fourth proportional to 3,469.92, 5,206.08 and 2,169.84 is: 3,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.92 : 5,206.08 = 2,169.84 : x
  2. Step 2: Convert to fraction form
    3,469.92/5,206.08 = 2,169.84/x
  3. Step 3: Cross multiply
    3,469.92x = 5,206.08 × 2,169.84
  4. Step 4: Simplify right side
    3,469.92x = 11,296,360.63
  5. Step 5: Solve for x
    x = 11,296,360.63/3,469.92
  6. Step 6: Final answer
    x = 3,255.51

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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.