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Finding the Fourth Proportional to 6,289.70, 8,720.11 and 5,939.78

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Solution

The fourth proportional to 6,289.70, 8,720.11 and 5,939.78 is: 8,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.70 : 8,720.11 = 5,939.78 : x
  2. Step 2: Convert to fraction form
    6,289.70/8,720.11 = 5,939.78/x
  3. Step 3: Cross multiply
    6,289.70x = 8,720.11 × 5,939.78
  4. Step 4: Simplify right side
    6,289.70x = 51,795,498.80
  5. Step 5: Solve for x
    x = 51,795,498.80/6,289.70
  6. Step 6: Final answer
    x = 8,234.98

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Why These Related Problems?

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