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Finding the Fourth Proportional to 3,883.69, 5,359.94 and 2,311.79

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Solution

The fourth proportional to 3,883.69, 5,359.94 and 2,311.79 is: 3,190.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,883.69 : 5,359.94 = 2,311.79 : x
  2. Step 2: Convert to fraction form
    3,883.69/5,359.94 = 2,311.79/x
  3. Step 3: Cross multiply
    3,883.69x = 5,359.94 × 2,311.79
  4. Step 4: Simplify right side
    3,883.69x = 12,391,044.13
  5. Step 5: Solve for x
    x = 12,391,044.13/3,883.69
  6. Step 6: Final answer
    x = 3,190.54

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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.