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Finding the Fourth Proportional to 5,879.70, 8,821.02 and 1,984.02

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Solution

The fourth proportional to 5,879.70, 8,821.02 and 1,984.02 is: 2,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,879.70 : 8,821.02 = 1,984.02 : x
  2. Step 2: Convert to fraction form
    5,879.70/8,821.02 = 1,984.02/x
  3. Step 3: Cross multiply
    5,879.70x = 8,821.02 × 1,984.02
  4. Step 4: Simplify right side
    5,879.70x = 17,501,080.10
  5. Step 5: Solve for x
    x = 17,501,080.10/5,879.70
  6. Step 6: Final answer
    x = 2,976.53

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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.