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Finding the Fourth Proportional to 3,596, 4,960.16 and 2,546.24

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Solution

The fourth proportional to 3,596, 4,960.16 and 2,546.24 is: 3,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596 : 4,960.16 = 2,546.24 : x
  2. Step 2: Convert to fraction form
    3,596/4,960.16 = 2,546.24/x
  3. Step 3: Cross multiply
    3,596x = 4,960.16 × 2,546.24
  4. Step 4: Simplify right side
    3,596x = 12,629,757.80
  5. Step 5: Solve for x
    x = 12,629,757.80/3,596
  6. Step 6: Final answer
    x = 3,512.17

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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.