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Finding the Fourth Proportional to 4,114.38, 5,677.84 and 2,251.38

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Solution

The fourth proportional to 4,114.38, 5,677.84 and 2,251.38 is: 3,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.38 : 5,677.84 = 2,251.38 : x
  2. Step 2: Convert to fraction form
    4,114.38/5,677.84 = 2,251.38/x
  3. Step 3: Cross multiply
    4,114.38x = 5,677.84 × 2,251.38
  4. Step 4: Simplify right side
    4,114.38x = 12,782,964.16
  5. Step 5: Solve for x
    x = 12,782,964.16/4,114.38
  6. Step 6: Final answer
    x = 3,106.90

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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.