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Finding the Fourth Proportional to 3,839.63, 5,298.68 and 2,183.63

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Solution

The fourth proportional to 3,839.63, 5,298.68 and 2,183.63 is: 3,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.63 : 5,298.68 = 2,183.63 : x
  2. Step 2: Convert to fraction form
    3,839.63/5,298.68 = 2,183.63/x
  3. Step 3: Cross multiply
    3,839.63x = 5,298.68 × 2,183.63
  4. Step 4: Simplify right side
    3,839.63x = 11,570,335.57
  5. Step 5: Solve for x
    x = 11,570,335.57/3,839.63
  6. Step 6: Final answer
    x = 3,013.40

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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.