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Finding the Fourth Proportional to 3,524.32, 4,863.60 and 1,952.44

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Solution

The fourth proportional to 3,524.32, 4,863.60 and 1,952.44 is: 2,694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.32 : 4,863.60 = 1,952.44 : x
  2. Step 2: Convert to fraction form
    3,524.32/4,863.60 = 1,952.44/x
  3. Step 3: Cross multiply
    3,524.32x = 4,863.60 × 1,952.44
  4. Step 4: Simplify right side
    3,524.32x = 9,495,887.18
  5. Step 5: Solve for x
    x = 9,495,887.18/3,524.32
  6. Step 6: Final answer
    x = 2,694.39

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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.