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Finding the Fourth Proportional to 5,234.26, 7,834.30 and 3,847.23

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Solution

The fourth proportional to 5,234.26, 7,834.30 and 3,847.23 is: 5,758.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.26 : 7,834.30 = 3,847.23 : x
  2. Step 2: Convert to fraction form
    5,234.26/7,834.30 = 3,847.23/x
  3. Step 3: Cross multiply
    5,234.26x = 7,834.30 × 3,847.23
  4. Step 4: Simplify right side
    5,234.26x = 30,140,353.99
  5. Step 5: Solve for x
    x = 30,140,353.99/5,234.26
  6. Step 6: Final answer
    x = 5,758.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.