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Finding the Fourth Proportional to 3,958.74, 5,462.78 and 2,190.38

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Solution

The fourth proportional to 3,958.74, 5,462.78 and 2,190.38 is: 3,022.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.74 : 5,462.78 = 2,190.38 : x
  2. Step 2: Convert to fraction form
    3,958.74/5,462.78 = 2,190.38/x
  3. Step 3: Cross multiply
    3,958.74x = 5,462.78 × 2,190.38
  4. Step 4: Simplify right side
    3,958.74x = 11,965,525.79
  5. Step 5: Solve for x
    x = 11,965,525.79/3,958.74
  6. Step 6: Final answer
    x = 3,022.56

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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.