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Finding the Fourth Proportional to 4,252.28, 5,872.02 and 3,202.52

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Solution

The fourth proportional to 4,252.28, 5,872.02 and 3,202.52 is: 4,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.28 : 5,872.02 = 3,202.52 : x
  2. Step 2: Convert to fraction form
    4,252.28/5,872.02 = 3,202.52/x
  3. Step 3: Cross multiply
    4,252.28x = 5,872.02 × 3,202.52
  4. Step 4: Simplify right side
    4,252.28x = 18,805,261.49
  5. Step 5: Solve for x
    x = 18,805,261.49/4,252.28
  6. Step 6: Final answer
    x = 4,422.39

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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.