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Finding the Fourth Proportional to 4,193, 5,786.36 and 2,330

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Solution

The fourth proportional to 4,193, 5,786.36 and 2,330 is: 3,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,193 : 5,786.36 = 2,330 : x
  2. Step 2: Convert to fraction form
    4,193/5,786.36 = 2,330/x
  3. Step 3: Cross multiply
    4,193x = 5,786.36 × 2,330
  4. Step 4: Simplify right side
    4,193x = 13,482,218.80
  5. Step 5: Solve for x
    x = 13,482,218.80/4,193
  6. Step 6: Final answer
    x = 3,215.41

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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.