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Finding the Fourth Proportional to 3,879.66, 5,353.82 and 2,111.22

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Solution

The fourth proportional to 3,879.66, 5,353.82 and 2,111.22 is: 2,913.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.66 : 5,353.82 = 2,111.22 : x
  2. Step 2: Convert to fraction form
    3,879.66/5,353.82 = 2,111.22/x
  3. Step 3: Cross multiply
    3,879.66x = 5,353.82 × 2,111.22
  4. Step 4: Simplify right side
    3,879.66x = 11,303,081.30
  5. Step 5: Solve for x
    x = 11,303,081.30/3,879.66
  6. Step 6: Final answer
    x = 2,913.42

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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.