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Finding the Fourth Proportional to 3,766.52, 5,198.90 and 2,274.19

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Solution

The fourth proportional to 3,766.52, 5,198.90 and 2,274.19 is: 3,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.52 : 5,198.90 = 2,274.19 : x
  2. Step 2: Convert to fraction form
    3,766.52/5,198.90 = 2,274.19/x
  3. Step 3: Cross multiply
    3,766.52x = 5,198.90 × 2,274.19
  4. Step 4: Simplify right side
    3,766.52x = 11,823,262.02
  5. Step 5: Solve for x
    x = 11,823,262.02/3,766.52
  6. Step 6: Final answer
    x = 3,139.04

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Half scale
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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.