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Finding the Fourth Proportional to 4,187.38, 5,772.42 and 3,190.93

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Solution

The fourth proportional to 4,187.38, 5,772.42 and 3,190.93 is: 4,398.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,187.38 : 5,772.42 = 3,190.93 : x
  2. Step 2: Convert to fraction form
    4,187.38/5,772.42 = 3,190.93/x
  3. Step 3: Cross multiply
    4,187.38x = 5,772.42 × 3,190.93
  4. Step 4: Simplify right side
    4,187.38x = 18,419,388.15
  5. Step 5: Solve for x
    x = 18,419,388.15/4,187.38
  6. Step 6: Final answer
    x = 4,398.79

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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.