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Finding the Fourth Proportional to 3,796.34, 5,694.36 and 1,163.74

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Solution

The fourth proportional to 3,796.34, 5,694.36 and 1,163.74 is: 1,745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.34 : 5,694.36 = 1,163.74 : x
  2. Step 2: Convert to fraction form
    3,796.34/5,694.36 = 1,163.74/x
  3. Step 3: Cross multiply
    3,796.34x = 5,694.36 × 1,163.74
  4. Step 4: Simplify right side
    3,796.34x = 6,626,754.51
  5. Step 5: Solve for x
    x = 6,626,754.51/3,796.34
  6. Step 6: Final answer
    x = 1,745.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.