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Finding the Fourth Proportional to 4,720.69, 7,084.43 and 3,163.67

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Solution

The fourth proportional to 4,720.69, 7,084.43 and 3,163.67 is: 4,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,720.69 : 7,084.43 = 3,163.67 : x
  2. Step 2: Convert to fraction form
    4,720.69/7,084.43 = 3,163.67/x
  3. Step 3: Cross multiply
    4,720.69x = 7,084.43 × 3,163.67
  4. Step 4: Simplify right side
    4,720.69x = 22,412,785.85
  5. Step 5: Solve for x
    x = 22,412,785.85/4,720.69
  6. Step 6: Final answer
    x = 4,747.78

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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.