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Finding the Fourth Proportional to 4,165.43, 5,736.62 and 4,074.71

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Solution

The fourth proportional to 4,165.43, 5,736.62 and 4,074.71 is: 5,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.43 : 5,736.62 = 4,074.71 : x
  2. Step 2: Convert to fraction form
    4,165.43/5,736.62 = 4,074.71/x
  3. Step 3: Cross multiply
    4,165.43x = 5,736.62 × 4,074.71
  4. Step 4: Simplify right side
    4,165.43x = 23,375,044.38
  5. Step 5: Solve for x
    x = 23,375,044.38/4,165.43
  6. Step 6: Final answer
    x = 5,611.68

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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.