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Finding the Fourth Proportional to 5,879.43, 8,820.36 and 1,984.14

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Solution

The fourth proportional to 5,879.43, 8,820.36 and 1,984.14 is: 2,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.43 : 8,820.36 = 1,984.14 : x
  2. Step 2: Convert to fraction form
    5,879.43/8,820.36 = 1,984.14/x
  3. Step 3: Cross multiply
    5,879.43x = 8,820.36 × 1,984.14
  4. Step 4: Simplify right side
    5,879.43x = 17,500,829.09
  5. Step 5: Solve for x
    x = 17,500,829.09/5,879.43
  6. Step 6: Final answer
    x = 2,976.62

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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.