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Finding the Fourth Proportional to 3,827.46, 5,282.63 and 2,234.29

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Solution

The fourth proportional to 3,827.46, 5,282.63 and 2,234.29 is: 3,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.46 : 5,282.63 = 2,234.29 : x
  2. Step 2: Convert to fraction form
    3,827.46/5,282.63 = 2,234.29/x
  3. Step 3: Cross multiply
    3,827.46x = 5,282.63 × 2,234.29
  4. Step 4: Simplify right side
    3,827.46x = 11,802,927.38
  5. Step 5: Solve for x
    x = 11,802,927.38/3,827.46
  6. Step 6: Final answer
    x = 3,083.75

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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.