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Finding the Fourth Proportional to 6,422.38, 8,859.29 and 3,769.27

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Solution

The fourth proportional to 6,422.38, 8,859.29 and 3,769.27 is: 5,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.38 : 8,859.29 = 3,769.27 : x
  2. Step 2: Convert to fraction form
    6,422.38/8,859.29 = 3,769.27/x
  3. Step 3: Cross multiply
    6,422.38x = 8,859.29 × 3,769.27
  4. Step 4: Simplify right side
    6,422.38x = 33,393,056.02
  5. Step 5: Solve for x
    x = 33,393,056.02/6,422.38
  6. Step 6: Final answer
    x = 5,199.48

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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.