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Finding the Fourth Proportional to 5,934.36, 8,906.93 and 3,163.40

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Solution

The fourth proportional to 5,934.36, 8,906.93 and 3,163.40 is: 4,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.36 : 8,906.93 = 3,163.40 : x
  2. Step 2: Convert to fraction form
    5,934.36/8,906.93 = 3,163.40/x
  3. Step 3: Cross multiply
    5,934.36x = 8,906.93 × 3,163.40
  4. Step 4: Simplify right side
    5,934.36x = 28,176,122.01
  5. Step 5: Solve for x
    x = 28,176,122.01/5,934.36
  6. Step 6: Final answer
    x = 4,747.96

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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.