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Finding the Fourth Proportional to 4,183.39, 5,772.63 and 2,320.39

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Solution

The fourth proportional to 4,183.39, 5,772.63 and 2,320.39 is: 3,201.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.39 : 5,772.63 = 2,320.39 : x
  2. Step 2: Convert to fraction form
    4,183.39/5,772.63 = 2,320.39/x
  3. Step 3: Cross multiply
    4,183.39x = 5,772.63 × 2,320.39
  4. Step 4: Simplify right side
    4,183.39x = 13,394,752.93
  5. Step 5: Solve for x
    x = 13,394,752.93/4,183.39
  6. Step 6: Final answer
    x = 3,201.89

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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.