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Finding the Fourth Proportional to 3,524, 4,863.30 and 1,952.24

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Solution

The fourth proportional to 3,524, 4,863.30 and 1,952.24 is: 2,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524 : 4,863.30 = 1,952.24 : x
  2. Step 2: Convert to fraction form
    3,524/4,863.30 = 1,952.24/x
  3. Step 3: Cross multiply
    3,524x = 4,863.30 × 1,952.24
  4. Step 4: Simplify right side
    3,524x = 9,494,328.79
  5. Step 5: Solve for x
    x = 9,494,328.79/3,524
  6. Step 6: Final answer
    x = 2,694.19

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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.