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Finding the Fourth Proportional to 3,766.61, 5,197.91 and 2,274.23

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Solution

The fourth proportional to 3,766.61, 5,197.91 and 2,274.23 is: 3,138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.61 : 5,197.91 = 2,274.23 : x
  2. Step 2: Convert to fraction form
    3,766.61/5,197.91 = 2,274.23/x
  3. Step 3: Cross multiply
    3,766.61x = 5,197.91 × 2,274.23
  4. Step 4: Simplify right side
    3,766.61x = 11,821,261.54
  5. Step 5: Solve for x
    x = 11,821,261.54/3,766.61
  6. Step 6: Final answer
    x = 3,138.44

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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.