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Finding the Fourth Proportional to 3,639.13, 5,022 and 2,067.53

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Solution

The fourth proportional to 3,639.13, 5,022 and 2,067.53 is: 2,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,639.13 : 5,022 = 2,067.53 : x
  2. Step 2: Convert to fraction form
    3,639.13/5,022 = 2,067.53/x
  3. Step 3: Cross multiply
    3,639.13x = 5,022 × 2,067.53
  4. Step 4: Simplify right side
    3,639.13x = 10,383,110.55
  5. Step 5: Solve for x
    x = 10,383,110.55/3,639.13
  6. Step 6: Final answer
    x = 2,853.19

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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.