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Finding the Fourth Proportional to 3,536.82, 4,880.91 and 1,965.02

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Solution

The fourth proportional to 3,536.82, 4,880.91 and 1,965.02 is: 2,711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.82 : 4,880.91 = 1,965.02 : x
  2. Step 2: Convert to fraction form
    3,536.82/4,880.91 = 1,965.02/x
  3. Step 3: Cross multiply
    3,536.82x = 4,880.91 × 1,965.02
  4. Step 4: Simplify right side
    3,536.82x = 9,591,061.36
  5. Step 5: Solve for x
    x = 9,591,061.36/3,536.82
  6. Step 6: Final answer
    x = 2,711.78

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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.