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Finding the Fourth Proportional to 3,758.27, 5,629.19 and 1,906.20

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Solution

The fourth proportional to 3,758.27, 5,629.19 and 1,906.20 is: 2,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.27 : 5,629.19 = 1,906.20 : x
  2. Step 2: Convert to fraction form
    3,758.27/5,629.19 = 1,906.20/x
  3. Step 3: Cross multiply
    3,758.27x = 5,629.19 × 1,906.20
  4. Step 4: Simplify right side
    3,758.27x = 10,730,352.45
  5. Step 5: Solve for x
    x = 10,730,352.45/3,758.27
  6. Step 6: Final answer
    x = 2,855.13

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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.