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Finding the Fourth Proportional to 5,939.20, 8,193.18 and 5,064.40

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Solution

The fourth proportional to 5,939.20, 8,193.18 and 5,064.40 is: 6,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,939.20 : 8,193.18 = 5,064.40 : x
  2. Step 2: Convert to fraction form
    5,939.20/8,193.18 = 5,064.40/x
  3. Step 3: Cross multiply
    5,939.20x = 8,193.18 × 5,064.40
  4. Step 4: Simplify right side
    5,939.20x = 41,493,540.79
  5. Step 5: Solve for x
    x = 41,493,540.79/5,939.20
  6. Step 6: Final answer
    x = 6,986.39

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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.