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Finding the Fourth Proportional to 2,839.52, 4,247.52 and 2,569.52

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Solution

The fourth proportional to 2,839.52, 4,247.52 and 2,569.52 is: 3,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.52 : 4,247.52 = 2,569.52 : x
  2. Step 2: Convert to fraction form
    2,839.52/4,247.52 = 2,569.52/x
  3. Step 3: Cross multiply
    2,839.52x = 4,247.52 × 2,569.52
  4. Step 4: Simplify right side
    2,839.52x = 10,914,087.59
  5. Step 5: Solve for x
    x = 10,914,087.59/2,839.52
  6. Step 6: Final answer
    x = 3,843.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.