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Finding the Fourth Proportional to 4,234.44, 5,842.98 and 2,371.44

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Solution

The fourth proportional to 4,234.44, 5,842.98 and 2,371.44 is: 3,272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.44 : 5,842.98 = 2,371.44 : x
  2. Step 2: Convert to fraction form
    4,234.44/5,842.98 = 2,371.44/x
  3. Step 3: Cross multiply
    4,234.44x = 5,842.98 × 2,371.44
  4. Step 4: Simplify right side
    4,234.44x = 13,856,276.49
  5. Step 5: Solve for x
    x = 13,856,276.49/4,234.44
  6. Step 6: Final answer
    x = 3,272.28

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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.