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Finding the Fourth Proportional to 5,776.92, 7,972.83 and 3,787.56

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Solution

The fourth proportional to 5,776.92, 7,972.83 and 3,787.56 is: 5,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.92 : 7,972.83 = 3,787.56 : x
  2. Step 2: Convert to fraction form
    5,776.92/7,972.83 = 3,787.56/x
  3. Step 3: Cross multiply
    5,776.92x = 7,972.83 × 3,787.56
  4. Step 4: Simplify right side
    5,776.92x = 30,197,571.99
  5. Step 5: Solve for x
    x = 30,197,571.99/5,776.92
  6. Step 6: Final answer
    x = 5,227.28

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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.