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Finding the Fourth Proportional to 3,659.42, 5,049.77 and 2,066.33

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Solution

The fourth proportional to 3,659.42, 5,049.77 and 2,066.33 is: 2,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.42 : 5,049.77 = 2,066.33 : x
  2. Step 2: Convert to fraction form
    3,659.42/5,049.77 = 2,066.33/x
  3. Step 3: Cross multiply
    3,659.42x = 5,049.77 × 2,066.33
  4. Step 4: Simplify right side
    3,659.42x = 10,434,493.54
  5. Step 5: Solve for x
    x = 10,434,493.54/3,659.42
  6. Step 6: Final answer
    x = 2,851.40

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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.