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Finding the Fourth Proportional to 4,234.71, 5,843.12 and 2,371.71

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Solution

The fourth proportional to 4,234.71, 5,843.12 and 2,371.71 is: 3,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.71 : 5,843.12 = 2,371.71 : x
  2. Step 2: Convert to fraction form
    4,234.71/5,843.12 = 2,371.71/x
  3. Step 3: Cross multiply
    4,234.71x = 5,843.12 × 2,371.71
  4. Step 4: Simplify right side
    4,234.71x = 13,858,174.28
  5. Step 5: Solve for x
    x = 13,858,174.28/4,234.71
  6. Step 6: Final answer
    x = 3,272.52

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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.