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Finding the Fourth Proportional to 5,951.09, 8,213.02 and 3,433.31

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Solution

The fourth proportional to 5,951.09, 8,213.02 and 3,433.31 is: 4,738.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,951.09 : 8,213.02 = 3,433.31 : x
  2. Step 2: Convert to fraction form
    5,951.09/8,213.02 = 3,433.31/x
  3. Step 3: Cross multiply
    5,951.09x = 8,213.02 × 3,433.31
  4. Step 4: Simplify right side
    5,951.09x = 28,197,855.65
  5. Step 5: Solve for x
    x = 28,197,855.65/5,951.09
  6. Step 6: Final answer
    x = 4,738.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.