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Finding the Fourth Proportional to 3,638.88, 5,022.32 and 2,066.96

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Solution

The fourth proportional to 3,638.88, 5,022.32 and 2,066.96 is: 2,852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.88 : 5,022.32 = 2,066.96 : x
  2. Step 2: Convert to fraction form
    3,638.88/5,022.32 = 2,066.96/x
  3. Step 3: Cross multiply
    3,638.88x = 5,022.32 × 2,066.96
  4. Step 4: Simplify right side
    3,638.88x = 10,380,934.55
  5. Step 5: Solve for x
    x = 10,380,934.55/3,638.88
  6. Step 6: Final answer
    x = 2,852.78

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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.