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Finding the Fourth Proportional to 3,964.19, 5,474.61 and 3,294.41

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Solution

The fourth proportional to 3,964.19, 5,474.61 and 3,294.41 is: 4,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.19 : 5,474.61 = 3,294.41 : x
  2. Step 2: Convert to fraction form
    3,964.19/5,474.61 = 3,294.41/x
  3. Step 3: Cross multiply
    3,964.19x = 5,474.61 × 3,294.41
  4. Step 4: Simplify right side
    3,964.19x = 18,035,582.56
  5. Step 5: Solve for x
    x = 18,035,582.56/3,964.19
  6. Step 6: Final answer
    x = 4,549.63

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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.