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Finding the Fourth Proportional to 3,912.24, 5,392.84 and 2,916

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Solution

The fourth proportional to 3,912.24, 5,392.84 and 2,916 is: 4,019.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.24 : 5,392.84 = 2,916 : x
  2. Step 2: Convert to fraction form
    3,912.24/5,392.84 = 2,916/x
  3. Step 3: Cross multiply
    3,912.24x = 5,392.84 × 2,916
  4. Step 4: Simplify right side
    3,912.24x = 15,725,521.44
  5. Step 5: Solve for x
    x = 15,725,521.44/3,912.24
  6. Step 6: Final answer
    x = 4,019.57

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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.