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Finding the Fourth Proportional to 5,777,365.88, 7,972,667.16 and 3,198,991.16

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Solution

The fourth proportional to 5,777,365.88, 7,972,667.16 and 3,198,991.16 is: 4,414,553.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,365.88 : 7,972,667.16 = 3,198,991.16 : x
  2. Step 2: Convert to fraction form
    5,777,365.88/7,972,667.16 = 3,198,991.16/x
  3. Step 3: Cross multiply
    5,777,365.88x = 7,972,667.16 × 3,198,991.16
  4. Step 4: Simplify right side
    5,777,365.88x = 25,504,491,766,462.31
  5. Step 5: Solve for x
    x = 25,504,491,766,462.31/5,777,365.88
  6. Step 6: Final answer
    x = 4,414,553.67

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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.