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Finding the Fourth Proportional to 3,766.70, 5,197.23 and 2,274.58

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Solution

The fourth proportional to 3,766.70, 5,197.23 and 2,274.58 is: 3,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.70 : 5,197.23 = 2,274.58 : x
  2. Step 2: Convert to fraction form
    3,766.70/5,197.23 = 2,274.58/x
  3. Step 3: Cross multiply
    3,766.70x = 5,197.23 × 2,274.58
  4. Step 4: Simplify right side
    3,766.70x = 11,821,521.91
  5. Step 5: Solve for x
    x = 11,821,521.91/3,766.70
  6. Step 6: Final answer
    x = 3,138.43

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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.