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Finding the Fourth Proportional to 3,817.67, 5,270.96 and 2,384.22

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Solution

The fourth proportional to 3,817.67, 5,270.96 and 2,384.22 is: 3,291.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.67 : 5,270.96 = 2,384.22 : x
  2. Step 2: Convert to fraction form
    3,817.67/5,270.96 = 2,384.22/x
  3. Step 3: Cross multiply
    3,817.67x = 5,270.96 × 2,384.22
  4. Step 4: Simplify right side
    3,817.67x = 12,567,116.33
  5. Step 5: Solve for x
    x = 12,567,116.33/3,817.67
  6. Step 6: Final answer
    x = 3,291.83

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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.