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Finding the Fourth Proportional to 3,797.20, 5,696.61 and 1,604.80

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Solution

The fourth proportional to 3,797.20, 5,696.61 and 1,604.80 is: 2,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.20 : 5,696.61 = 1,604.80 : x
  2. Step 2: Convert to fraction form
    3,797.20/5,696.61 = 1,604.80/x
  3. Step 3: Cross multiply
    3,797.20x = 5,696.61 × 1,604.80
  4. Step 4: Simplify right side
    3,797.20x = 9,141,919.73
  5. Step 5: Solve for x
    x = 9,141,919.73/3,797.20
  6. Step 6: Final answer
    x = 2,407.54

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1.5x scale

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.