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Finding the Fourth Proportional to 5,163.69, 7,745.47 and 1,268.06

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Solution

The fourth proportional to 5,163.69, 7,745.47 and 1,268.06 is: 1,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.69 : 7,745.47 = 1,268.06 : x
  2. Step 2: Convert to fraction form
    5,163.69/7,745.47 = 1,268.06/x
  3. Step 3: Cross multiply
    5,163.69x = 7,745.47 × 1,268.06
  4. Step 4: Simplify right side
    5,163.69x = 9,821,736.88
  5. Step 5: Solve for x
    x = 9,821,736.88/5,163.69
  6. Step 6: Final answer
    x = 1,902.08

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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.