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Finding the Fourth Proportional to 3,908.80, 5,865.90 and 2,814.10

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Solution

The fourth proportional to 3,908.80, 5,865.90 and 2,814.10 is: 4,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.80 : 5,865.90 = 2,814.10 : x
  2. Step 2: Convert to fraction form
    3,908.80/5,865.90 = 2,814.10/x
  3. Step 3: Cross multiply
    3,908.80x = 5,865.90 × 2,814.10
  4. Step 4: Simplify right side
    3,908.80x = 16,507,229.19
  5. Step 5: Solve for x
    x = 16,507,229.19/3,908.80
  6. Step 6: Final answer
    x = 4,223.09

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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.