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Finding the Fourth Proportional to 3,827.56, 5,281.68 and 2,234.56

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Solution

The fourth proportional to 3,827.56, 5,281.68 and 2,234.56 is: 3,083.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.56 : 5,281.68 = 2,234.56 : x
  2. Step 2: Convert to fraction form
    3,827.56/5,281.68 = 2,234.56/x
  3. Step 3: Cross multiply
    3,827.56x = 5,281.68 × 2,234.56
  4. Step 4: Simplify right side
    3,827.56x = 11,802,230.86
  5. Step 5: Solve for x
    x = 11,802,230.86/3,827.56
  6. Step 6: Final answer
    x = 3,083.49

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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.