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Finding the Fourth Proportional to 4,251.01, 5,864.80 and 3,134.62

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Solution

The fourth proportional to 4,251.01, 5,864.80 and 3,134.62 is: 4,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.01 : 5,864.80 = 3,134.62 : x
  2. Step 2: Convert to fraction form
    4,251.01/5,864.80 = 3,134.62/x
  3. Step 3: Cross multiply
    4,251.01x = 5,864.80 × 3,134.62
  4. Step 4: Simplify right side
    4,251.01x = 18,383,919.38
  5. Step 5: Solve for x
    x = 18,383,919.38/4,251.01
  6. Step 6: Final answer
    x = 4,324.60

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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.