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Finding the Fourth Proportional to 3,984.26, 5,978.21 and 1,519.83

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Solution

The fourth proportional to 3,984.26, 5,978.21 and 1,519.83 is: 2,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.26 : 5,978.21 = 1,519.83 : x
  2. Step 2: Convert to fraction form
    3,984.26/5,978.21 = 1,519.83/x
  3. Step 3: Cross multiply
    3,984.26x = 5,978.21 × 1,519.83
  4. Step 4: Simplify right side
    3,984.26x = 9,085,855.31
  5. Step 5: Solve for x
    x = 9,085,855.31/3,984.26
  6. Step 6: Final answer
    x = 2,280.44

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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.