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Finding the Fourth Proportional to 3,879.42, 5,353.71 and 2,111.14

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Solution

The fourth proportional to 3,879.42, 5,353.71 and 2,111.14 is: 2,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.42 : 5,353.71 = 2,111.14 : x
  2. Step 2: Convert to fraction form
    3,879.42/5,353.71 = 2,111.14/x
  3. Step 3: Cross multiply
    3,879.42x = 5,353.71 × 2,111.14
  4. Step 4: Simplify right side
    3,879.42x = 11,302,407.29
  5. Step 5: Solve for x
    x = 11,302,407.29/3,879.42
  6. Step 6: Final answer
    x = 2,913.43

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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.