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Finding the Fourth Proportional to 5,777,422.88, 7,972,745.90 and 3,199,048.16

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Solution

The fourth proportional to 5,777,422.88, 7,972,745.90 and 3,199,048.16 is: 4,414,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,422.88 : 7,972,745.90 = 3,199,048.16 : x
  2. Step 2: Convert to fraction form
    5,777,422.88/7,972,745.90 = 3,199,048.16/x
  3. Step 3: Cross multiply
    5,777,422.88x = 7,972,745.90 × 3,199,048.16
  4. Step 4: Simplify right side
    5,777,422.88x = 25,505,198,101,542.55
  5. Step 5: Solve for x
    x = 25,505,198,101,542.55/5,777,422.88
  6. Step 6: Final answer
    x = 4,414,632.38

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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.