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Finding the Fourth Proportional to 3,805.68, 5,252.36 and 2,234.28

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Solution

The fourth proportional to 3,805.68, 5,252.36 and 2,234.28 is: 3,083.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.68 : 5,252.36 = 2,234.28 : x
  2. Step 2: Convert to fraction form
    3,805.68/5,252.36 = 2,234.28/x
  3. Step 3: Cross multiply
    3,805.68x = 5,252.36 × 2,234.28
  4. Step 4: Simplify right side
    3,805.68x = 11,735,242.90
  5. Step 5: Solve for x
    x = 11,735,242.90/3,805.68
  6. Step 6: Final answer
    x = 3,083.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.