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Finding the Fourth Proportional to 3,879.96, 5,354.32 and 2,111.57

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Solution

The fourth proportional to 3,879.96, 5,354.32 and 2,111.57 is: 2,913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.96 : 5,354.32 = 2,111.57 : x
  2. Step 2: Convert to fraction form
    3,879.96/5,354.32 = 2,111.57/x
  3. Step 3: Cross multiply
    3,879.96x = 5,354.32 × 2,111.57
  4. Step 4: Simplify right side
    3,879.96x = 11,306,043.59
  5. Step 5: Solve for x
    x = 11,306,043.59/3,879.96
  6. Step 6: Final answer
    x = 2,913.96

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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.