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Finding the Fourth Proportional to 3,274.92, 4,912.54 and 935.27

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Solution

The fourth proportional to 3,274.92, 4,912.54 and 935.27 is: 1,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.92 : 4,912.54 = 935.27 : x
  2. Step 2: Convert to fraction form
    3,274.92/4,912.54 = 935.27/x
  3. Step 3: Cross multiply
    3,274.92x = 4,912.54 × 935.27
  4. Step 4: Simplify right side
    3,274.92x = 4,594,551.29
  5. Step 5: Solve for x
    x = 4,594,551.29/3,274.92
  6. Step 6: Final answer
    x = 1,402.95

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Why These Related Problems?

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