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Finding the Fourth Proportional to 3,943.49, 5,908.27 and 3,514.46

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Solution

The fourth proportional to 3,943.49, 5,908.27 and 3,514.46 is: 5,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,943.49 : 5,908.27 = 3,514.46 : x
  2. Step 2: Convert to fraction form
    3,943.49/5,908.27 = 3,514.46/x
  3. Step 3: Cross multiply
    3,943.49x = 5,908.27 × 3,514.46
  4. Step 4: Simplify right side
    3,943.49x = 20,764,378.58
  5. Step 5: Solve for x
    x = 20,764,378.58/3,943.49
  6. Step 6: Final answer
    x = 5,265.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.