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Finding the Fourth Proportional to 6,354.38, 8,767.02 and 3,837.30

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Solution

The fourth proportional to 6,354.38, 8,767.02 and 3,837.30 is: 5,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.38 : 8,767.02 = 3,837.30 : x
  2. Step 2: Convert to fraction form
    6,354.38/8,767.02 = 3,837.30/x
  3. Step 3: Cross multiply
    6,354.38x = 8,767.02 × 3,837.30
  4. Step 4: Simplify right side
    6,354.38x = 33,641,685.85
  5. Step 5: Solve for x
    x = 33,641,685.85/6,354.38
  6. Step 6: Final answer
    x = 5,294.25

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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.