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Finding the Fourth Proportional to 3,426.09, 5,147.81 and 3,287.70

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Solution

The fourth proportional to 3,426.09, 5,147.81 and 3,287.70 is: 4,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.09 : 5,147.81 = 3,287.70 : x
  2. Step 2: Convert to fraction form
    3,426.09/5,147.81 = 3,287.70/x
  3. Step 3: Cross multiply
    3,426.09x = 5,147.81 × 3,287.70
  4. Step 4: Simplify right side
    3,426.09x = 16,924,438.50
  5. Step 5: Solve for x
    x = 16,924,438.50/3,426.09
  6. Step 6: Final answer
    x = 4,939.87

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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.