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Finding the Fourth Proportional to 5,984.78, 8,976.83 and 1,824.71

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Solution

The fourth proportional to 5,984.78, 8,976.83 and 1,824.71 is: 2,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.78 : 8,976.83 = 1,824.71 : x
  2. Step 2: Convert to fraction form
    5,984.78/8,976.83 = 1,824.71/x
  3. Step 3: Cross multiply
    5,984.78x = 8,976.83 × 1,824.71
  4. Step 4: Simplify right side
    5,984.78x = 16,380,057.46
  5. Step 5: Solve for x
    x = 16,380,057.46/5,984.78
  6. Step 6: Final answer
    x = 2,736.95

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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.