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Finding the Fourth Proportional to 6,770.44, 10,149.40 and 2,609.20

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Solution

The fourth proportional to 6,770.44, 10,149.40 and 2,609.20 is: 3,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.44 : 10,149.40 = 2,609.20 : x
  2. Step 2: Convert to fraction form
    6,770.44/10,149.40 = 2,609.20/x
  3. Step 3: Cross multiply
    6,770.44x = 10,149.40 × 2,609.20
  4. Step 4: Simplify right side
    6,770.44x = 26,481,814.48
  5. Step 5: Solve for x
    x = 26,481,814.48/6,770.44
  6. Step 6: Final answer
    x = 3,911.39

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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.