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Finding the Fourth Proportional to 5,996.66, 8,978.02 and 3,179.07

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Solution

The fourth proportional to 5,996.66, 8,978.02 and 3,179.07 is: 4,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.66 : 8,978.02 = 3,179.07 : x
  2. Step 2: Convert to fraction form
    5,996.66/8,978.02 = 3,179.07/x
  3. Step 3: Cross multiply
    5,996.66x = 8,978.02 × 3,179.07
  4. Step 4: Simplify right side
    5,996.66x = 28,541,754.04
  5. Step 5: Solve for x
    x = 28,541,754.04/5,996.66
  6. Step 6: Final answer
    x = 4,759.61

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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.