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Finding the Fourth Proportional to 3,472.14, 5,208.24 and 1,163.64

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Solution

The fourth proportional to 3,472.14, 5,208.24 and 1,163.64 is: 1,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.14 : 5,208.24 = 1,163.64 : x
  2. Step 2: Convert to fraction form
    3,472.14/5,208.24 = 1,163.64/x
  3. Step 3: Cross multiply
    3,472.14x = 5,208.24 × 1,163.64
  4. Step 4: Simplify right side
    3,472.14x = 6,060,516.39
  5. Step 5: Solve for x
    x = 6,060,516.39/3,472.14
  6. Step 6: Final answer
    x = 1,745.47

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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.