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Finding the Fourth Proportional to 5,984.60, 8,974.17 and 1,825.11

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Solution

The fourth proportional to 5,984.60, 8,974.17 and 1,825.11 is: 2,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.60 : 8,974.17 = 1,825.11 : x
  2. Step 2: Convert to fraction form
    5,984.60/8,974.17 = 1,825.11/x
  3. Step 3: Cross multiply
    5,984.60x = 8,974.17 × 1,825.11
  4. Step 4: Simplify right side
    5,984.60x = 16,378,847.41
  5. Step 5: Solve for x
    x = 16,378,847.41/5,984.60
  6. Step 6: Final answer
    x = 2,736.83

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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.