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Finding the Fourth Proportional to 3,766.99, 5,198.58 and 2,274.61

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Solution

The fourth proportional to 3,766.99, 5,198.58 and 2,274.61 is: 3,139.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.99 : 5,198.58 = 2,274.61 : x
  2. Step 2: Convert to fraction form
    3,766.99/5,198.58 = 2,274.61/x
  3. Step 3: Cross multiply
    3,766.99x = 5,198.58 × 2,274.61
  4. Step 4: Simplify right side
    3,766.99x = 11,824,742.05
  5. Step 5: Solve for x
    x = 11,824,742.05/3,766.99
  6. Step 6: Final answer
    x = 3,139.04

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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.