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Finding the Fourth Proportional to 3,924.94, 5,414.75 and 3,324.88

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Solution

The fourth proportional to 3,924.94, 5,414.75 and 3,324.88 is: 4,586.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.94 : 5,414.75 = 3,324.88 : x
  2. Step 2: Convert to fraction form
    3,924.94/5,414.75 = 3,324.88/x
  3. Step 3: Cross multiply
    3,924.94x = 5,414.75 × 3,324.88
  4. Step 4: Simplify right side
    3,924.94x = 18,003,396.59
  5. Step 5: Solve for x
    x = 18,003,396.59/3,924.94
  6. Step 6: Final answer
    x = 4,586.92

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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.