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Finding the Fourth Proportional to 6,836.96, 10,257.04 and 2,939.20

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Solution

The fourth proportional to 6,836.96, 10,257.04 and 2,939.20 is: 4,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.96 : 10,257.04 = 2,939.20 : x
  2. Step 2: Convert to fraction form
    6,836.96/10,257.04 = 2,939.20/x
  3. Step 3: Cross multiply
    6,836.96x = 10,257.04 × 2,939.20
  4. Step 4: Simplify right side
    6,836.96x = 30,147,491.97
  5. Step 5: Solve for x
    x = 30,147,491.97/6,836.96
  6. Step 6: Final answer
    x = 4,409.49

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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.