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Finding the Fourth Proportional to 6,149.12, 8,481.04 and 4,156.52

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Solution

The fourth proportional to 6,149.12, 8,481.04 and 4,156.52 is: 5,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.12 : 8,481.04 = 4,156.52 : x
  2. Step 2: Convert to fraction form
    6,149.12/8,481.04 = 4,156.52/x
  3. Step 3: Cross multiply
    6,149.12x = 8,481.04 × 4,156.52
  4. Step 4: Simplify right side
    6,149.12x = 35,251,612.38
  5. Step 5: Solve for x
    x = 35,251,612.38/6,149.12
  6. Step 6: Final answer
    x = 5,732.79

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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.