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Finding the Fourth Proportional to 3,906.71, 5,385.65 and 2,785.71

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Solution

The fourth proportional to 3,906.71, 5,385.65 and 2,785.71 is: 3,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.71 : 5,385.65 = 2,785.71 : x
  2. Step 2: Convert to fraction form
    3,906.71/5,385.65 = 2,785.71/x
  3. Step 3: Cross multiply
    3,906.71x = 5,385.65 × 2,785.71
  4. Step 4: Simplify right side
    3,906.71x = 15,002,859.06
  5. Step 5: Solve for x
    x = 15,002,859.06/3,906.71
  6. Step 6: Final answer
    x = 3,840.28

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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.