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Finding the Fourth Proportional to 3,466.80, 5,200.20 and 3,296.70

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Solution

The fourth proportional to 3,466.80, 5,200.20 and 3,296.70 is: 4,945.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.80 : 5,200.20 = 3,296.70 : x
  2. Step 2: Convert to fraction form
    3,466.80/5,200.20 = 3,296.70/x
  3. Step 3: Cross multiply
    3,466.80x = 5,200.20 × 3,296.70
  4. Step 4: Simplify right side
    3,466.80x = 17,143,499.34
  5. Step 5: Solve for x
    x = 17,143,499.34/3,466.80
  6. Step 6: Final answer
    x = 4,945.05

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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.