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Finding the Fourth Proportional to 6,354.46, 8,769.46 and 3,836.52

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Solution

The fourth proportional to 6,354.46, 8,769.46 and 3,836.52 is: 5,294.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.46 : 8,769.46 = 3,836.52 : x
  2. Step 2: Convert to fraction form
    6,354.46/8,769.46 = 3,836.52/x
  3. Step 3: Cross multiply
    6,354.46x = 8,769.46 × 3,836.52
  4. Step 4: Simplify right side
    6,354.46x = 33,644,208.68
  5. Step 5: Solve for x
    x = 33,644,208.68/6,354.46
  6. Step 6: Final answer
    x = 5,294.58

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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.