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Finding the Fourth Proportional to 3,817.84, 5,694.80 and 3,194.56

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Solution

The fourth proportional to 3,817.84, 5,694.80 and 3,194.56 is: 4,765.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.84 : 5,694.80 = 3,194.56 : x
  2. Step 2: Convert to fraction form
    3,817.84/5,694.80 = 3,194.56/x
  3. Step 3: Cross multiply
    3,817.84x = 5,694.80 × 3,194.56
  4. Step 4: Simplify right side
    3,817.84x = 18,192,380.29
  5. Step 5: Solve for x
    x = 18,192,380.29/3,817.84
  6. Step 6: Final answer
    x = 4,765.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.