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Finding the Fourth Proportional to 5,744.50, 8,614.90 and 2,234.26

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Solution

The fourth proportional to 5,744.50, 8,614.90 and 2,234.26 is: 3,350.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.50 : 8,614.90 = 2,234.26 : x
  2. Step 2: Convert to fraction form
    5,744.50/8,614.90 = 2,234.26/x
  3. Step 3: Cross multiply
    5,744.50x = 8,614.90 × 2,234.26
  4. Step 4: Simplify right side
    5,744.50x = 19,247,926.47
  5. Step 5: Solve for x
    x = 19,247,926.47/5,744.50
  6. Step 6: Final answer
    x = 3,350.67

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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.