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Finding the Fourth Proportional to 3,764.95, 5,195.49 and 2,086.39

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Solution

The fourth proportional to 3,764.95, 5,195.49 and 2,086.39 is: 2,879.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.95 : 5,195.49 = 2,086.39 : x
  2. Step 2: Convert to fraction form
    3,764.95/5,195.49 = 2,086.39/x
  3. Step 3: Cross multiply
    3,764.95x = 5,195.49 × 2,086.39
  4. Step 4: Simplify right side
    3,764.95x = 10,839,797.28
  5. Step 5: Solve for x
    x = 10,839,797.28/3,764.95
  6. Step 6: Final answer
    x = 2,879.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.