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Finding the Fourth Proportional to 4,626.36, 6,939.54 and 1,163.61

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Solution

The fourth proportional to 4,626.36, 6,939.54 and 1,163.61 is: 1,745.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.36 : 6,939.54 = 1,163.61 : x
  2. Step 2: Convert to fraction form
    4,626.36/6,939.54 = 1,163.61/x
  3. Step 3: Cross multiply
    4,626.36x = 6,939.54 × 1,163.61
  4. Step 4: Simplify right side
    4,626.36x = 8,074,918.14
  5. Step 5: Solve for x
    x = 8,074,918.14/4,626.36
  6. Step 6: Final answer
    x = 1,745.42

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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.