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Finding the Fourth Proportional to 3,964.68, 5,496.30 and 3,754

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Solution

The fourth proportional to 3,964.68, 5,496.30 and 3,754 is: 5,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.68 : 5,496.30 = 3,754 : x
  2. Step 2: Convert to fraction form
    3,964.68/5,496.30 = 3,754/x
  3. Step 3: Cross multiply
    3,964.68x = 5,496.30 × 3,754
  4. Step 4: Simplify right side
    3,964.68x = 20,633,110.20
  5. Step 5: Solve for x
    x = 20,633,110.20/3,964.68
  6. Step 6: Final answer
    x = 5,204.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.