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Finding the Fourth Proportional to 6,356.38, 8,769.78 and 3,839.30

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Solution

The fourth proportional to 6,356.38, 8,769.78 and 3,839.30 is: 5,297.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.38 : 8,769.78 = 3,839.30 : x
  2. Step 2: Convert to fraction form
    6,356.38/8,769.78 = 3,839.30/x
  3. Step 3: Cross multiply
    6,356.38x = 8,769.78 × 3,839.30
  4. Step 4: Simplify right side
    6,356.38x = 33,669,816.35
  5. Step 5: Solve for x
    x = 33,669,816.35/6,356.38
  6. Step 6: Final answer
    x = 5,297.01

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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.