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Finding the Fourth Proportional to 3,744.99, 5,165.24 and 2,863.71

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Solution

The fourth proportional to 3,744.99, 5,165.24 and 2,863.71 is: 3,949.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.99 : 5,165.24 = 2,863.71 : x
  2. Step 2: Convert to fraction form
    3,744.99/5,165.24 = 2,863.71/x
  3. Step 3: Cross multiply
    3,744.99x = 5,165.24 × 2,863.71
  4. Step 4: Simplify right side
    3,744.99x = 14,791,735.12
  5. Step 5: Solve for x
    x = 14,791,735.12/3,744.99
  6. Step 6: Final answer
    x = 3,949.74

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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.