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Finding the Fourth Proportional to 4,190.33, 5,822.73 and 4,144.76

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Solution

The fourth proportional to 4,190.33, 5,822.73 and 4,144.76 is: 5,759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.33 : 5,822.73 = 4,144.76 : x
  2. Step 2: Convert to fraction form
    4,190.33/5,822.73 = 4,144.76/x
  3. Step 3: Cross multiply
    4,190.33x = 5,822.73 × 4,144.76
  4. Step 4: Simplify right side
    4,190.33x = 24,133,789.28
  5. Step 5: Solve for x
    x = 24,133,789.28/4,190.33
  6. Step 6: Final answer
    x = 5,759.41

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.