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Finding the Fourth Proportional to 4,163.94, 6,199.67 and 4,105.82

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Solution

The fourth proportional to 4,163.94, 6,199.67 and 4,105.82 is: 6,113.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.94 : 6,199.67 = 4,105.82 : x
  2. Step 2: Convert to fraction form
    4,163.94/6,199.67 = 4,105.82/x
  3. Step 3: Cross multiply
    4,163.94x = 6,199.67 × 4,105.82
  4. Step 4: Simplify right side
    4,163.94x = 25,454,729.08
  5. Step 5: Solve for x
    x = 25,454,729.08/4,163.94
  6. Step 6: Final answer
    x = 6,113.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.