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Finding the Fourth Proportional to 4,213.67, 6,321.10 and 2,238.78

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Solution

The fourth proportional to 4,213.67, 6,321.10 and 2,238.78 is: 3,358.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.67 : 6,321.10 = 2,238.78 : x
  2. Step 2: Convert to fraction form
    4,213.67/6,321.10 = 2,238.78/x
  3. Step 3: Cross multiply
    4,213.67x = 6,321.10 × 2,238.78
  4. Step 4: Simplify right side
    4,213.67x = 14,151,559.93
  5. Step 5: Solve for x
    x = 14,151,559.93/4,213.67
  6. Step 6: Final answer
    x = 3,358.49

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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.