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Finding the Fourth Proportional to 3,777, 5,208.90 and 2,449.38

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Solution

The fourth proportional to 3,777, 5,208.90 and 2,449.38 is: 3,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,208.90 = 2,449.38 : x
  2. Step 2: Convert to fraction form
    3,777/5,208.90 = 2,449.38/x
  3. Step 3: Cross multiply
    3,777x = 5,208.90 × 2,449.38
  4. Step 4: Simplify right side
    3,777x = 12,758,575.48
  5. Step 5: Solve for x
    x = 12,758,575.48/3,777
  6. Step 6: Final answer
    x = 3,377.97

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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.