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Finding the Fourth Proportional to 3,412.80, 5,126.40 and 3,290.40

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Solution

The fourth proportional to 3,412.80, 5,126.40 and 3,290.40 is: 4,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.80 : 5,126.40 = 3,290.40 : x
  2. Step 2: Convert to fraction form
    3,412.80/5,126.40 = 3,290.40/x
  3. Step 3: Cross multiply
    3,412.80x = 5,126.40 × 3,290.40
  4. Step 4: Simplify right side
    3,412.80x = 16,867,906.56
  5. Step 5: Solve for x
    x = 16,867,906.56/3,412.80
  6. Step 6: Final answer
    x = 4,942.54

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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.