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Finding the Fourth Proportional to 6,754.26, 9,319.75 and 3,769.99

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Solution

The fourth proportional to 6,754.26, 9,319.75 and 3,769.99 is: 5,201.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.26 : 9,319.75 = 3,769.99 : x
  2. Step 2: Convert to fraction form
    6,754.26/9,319.75 = 3,769.99/x
  3. Step 3: Cross multiply
    6,754.26x = 9,319.75 × 3,769.99
  4. Step 4: Simplify right side
    6,754.26x = 35,135,364.30
  5. Step 5: Solve for x
    x = 35,135,364.30/6,754.26
  6. Step 6: Final answer
    x = 5,201.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.