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Finding the Fourth Proportional to 3,183.83, 4,393.39 and 1,857.65

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Solution

The fourth proportional to 3,183.83, 4,393.39 and 1,857.65 is: 2,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.83 : 4,393.39 = 1,857.65 : x
  2. Step 2: Convert to fraction form
    3,183.83/4,393.39 = 1,857.65/x
  3. Step 3: Cross multiply
    3,183.83x = 4,393.39 × 1,857.65
  4. Step 4: Simplify right side
    3,183.83x = 8,161,380.93
  5. Step 5: Solve for x
    x = 8,161,380.93/3,183.83
  6. Step 6: Final answer
    x = 2,563.38

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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.