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Finding the Fourth Proportional to 3,785.71, 5,671.27 and 3,093.16

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Solution

The fourth proportional to 3,785.71, 5,671.27 and 3,093.16 is: 4,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.71 : 5,671.27 = 3,093.16 : x
  2. Step 2: Convert to fraction form
    3,785.71/5,671.27 = 3,093.16/x
  3. Step 3: Cross multiply
    3,785.71x = 5,671.27 × 3,093.16
  4. Step 4: Simplify right side
    3,785.71x = 17,542,145.51
  5. Step 5: Solve for x
    x = 17,542,145.51/3,785.71
  6. Step 6: Final answer
    x = 4,633.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.