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Finding the Fourth Proportional to 5,835.96, 8,053.38 and 3,183.33

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Solution

The fourth proportional to 5,835.96, 8,053.38 and 3,183.33 is: 4,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.96 : 8,053.38 = 3,183.33 : x
  2. Step 2: Convert to fraction form
    5,835.96/8,053.38 = 3,183.33/x
  3. Step 3: Cross multiply
    5,835.96x = 8,053.38 × 3,183.33
  4. Step 4: Simplify right side
    5,835.96x = 25,636,566.16
  5. Step 5: Solve for x
    x = 25,636,566.16/5,835.96
  6. Step 6: Final answer
    x = 4,392.86

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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.