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Finding the Fourth Proportional to 5,239.72, 7,850.36 and 2,769.10

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Solution

The fourth proportional to 5,239.72, 7,850.36 and 2,769.10 is: 4,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.72 : 7,850.36 = 2,769.10 : x
  2. Step 2: Convert to fraction form
    5,239.72/7,850.36 = 2,769.10/x
  3. Step 3: Cross multiply
    5,239.72x = 7,850.36 × 2,769.10
  4. Step 4: Simplify right side
    5,239.72x = 21,738,431.88
  5. Step 5: Solve for x
    x = 21,738,431.88/5,239.72
  6. Step 6: Final answer
    x = 4,148.78

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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.