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Finding the Fourth Proportional to 3,469.60, 5,198.10 and 2,004.40

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Solution

The fourth proportional to 3,469.60, 5,198.10 and 2,004.40 is: 3,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.60 : 5,198.10 = 2,004.40 : x
  2. Step 2: Convert to fraction form
    3,469.60/5,198.10 = 2,004.40/x
  3. Step 3: Cross multiply
    3,469.60x = 5,198.10 × 2,004.40
  4. Step 4: Simplify right side
    3,469.60x = 10,419,071.64
  5. Step 5: Solve for x
    x = 10,419,071.64/3,469.60
  6. Step 6: Final answer
    x = 3,002.96

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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.