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Finding the Fourth Proportional to 5,996.70, 8,979.86 and 5,442.66

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Solution

The fourth proportional to 5,996.70, 8,979.86 and 5,442.66 is: 8,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.70 : 8,979.86 = 5,442.66 : x
  2. Step 2: Convert to fraction form
    5,996.70/8,979.86 = 5,442.66/x
  3. Step 3: Cross multiply
    5,996.70x = 8,979.86 × 5,442.66
  4. Step 4: Simplify right side
    5,996.70x = 48,874,338.43
  5. Step 5: Solve for x
    x = 48,874,338.43/5,996.70
  6. Step 6: Final answer
    x = 8,150.21

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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.