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Finding the Fourth Proportional to 5,777,542.69, 7,972,910.39 and 3,199,168.10

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Solution

The fourth proportional to 5,777,542.69, 7,972,910.39 and 3,199,168.10 is: 4,414,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,777,542.69 : 7,972,910.39 = 3,199,168.10 : x
  2. Step 2: Convert to fraction form
    5,777,542.69/7,972,910.39 = 3,199,168.10/x
  3. Step 3: Cross multiply
    5,777,542.69x = 7,972,910.39 × 3,199,168.10
  4. Step 4: Simplify right side
    5,777,542.69x = 25,506,680,611,776.75
  5. Step 5: Solve for x
    x = 25,506,680,611,776.75/5,777,542.69
  6. Step 6: Final answer
    x = 4,414,797.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.