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Finding the Fourth Proportional to 5,978,512.20, 8,967,768.30 and 5,647,837.80

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Solution

The fourth proportional to 5,978,512.20, 8,967,768.30 and 5,647,837.80 is: 8,471,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978,512.20 : 8,967,768.30 = 5,647,837.80 : x
  2. Step 2: Convert to fraction form
    5,978,512.20/8,967,768.30 = 5,647,837.80/x
  3. Step 3: Cross multiply
    5,978,512.20x = 8,967,768.30 × 5,647,837.80
  4. Step 4: Simplify right side
    5,978,512.20x = 50,648,500,786,381.74
  5. Step 5: Solve for x
    x = 50,648,500,786,381.74/5,978,512.20
  6. Step 6: Final answer
    x = 8,471,756.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.