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Finding the Fourth Proportional to 5,836.12, 8,053.96 and 3,183.52

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Solution

The fourth proportional to 5,836.12, 8,053.96 and 3,183.52 is: 4,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836.12 : 8,053.96 = 3,183.52 : x
  2. Step 2: Convert to fraction form
    5,836.12/8,053.96 = 3,183.52/x
  3. Step 3: Cross multiply
    5,836.12x = 8,053.96 × 3,183.52
  4. Step 4: Simplify right side
    5,836.12x = 25,639,942.74
  5. Step 5: Solve for x
    x = 25,639,942.74/5,836.12
  6. Step 6: Final answer
    x = 4,393.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.