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Finding the Fourth Proportional to 3,787.97, 5,227.74 and 2,216.16

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Solution

The fourth proportional to 3,787.97, 5,227.74 and 2,216.16 is: 3,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.97 : 5,227.74 = 2,216.16 : x
  2. Step 2: Convert to fraction form
    3,787.97/5,227.74 = 2,216.16/x
  3. Step 3: Cross multiply
    3,787.97x = 5,227.74 × 2,216.16
  4. Step 4: Simplify right side
    3,787.97x = 11,585,508.28
  5. Step 5: Solve for x
    x = 11,585,508.28/3,787.97
  6. Step 6: Final answer
    x = 3,058.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.