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Finding the Fourth Proportional to 5,984.28, 8,972.24 and 2,650.91

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Solution

The fourth proportional to 5,984.28, 8,972.24 and 2,650.91 is: 3,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.28 : 8,972.24 = 2,650.91 : x
  2. Step 2: Convert to fraction form
    5,984.28/8,972.24 = 2,650.91/x
  3. Step 3: Cross multiply
    5,984.28x = 8,972.24 × 2,650.91
  4. Step 4: Simplify right side
    5,984.28x = 23,784,542.62
  5. Step 5: Solve for x
    x = 23,784,542.62/5,984.28
  6. Step 6: Final answer
    x = 3,974.50

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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.