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Finding the Fourth Proportional to 3,919.77, 5,409.24 and 2,151.27

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Solution

The fourth proportional to 3,919.77, 5,409.24 and 2,151.27 is: 2,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.77 : 5,409.24 = 2,151.27 : x
  2. Step 2: Convert to fraction form
    3,919.77/5,409.24 = 2,151.27/x
  3. Step 3: Cross multiply
    3,919.77x = 5,409.24 × 2,151.27
  4. Step 4: Simplify right side
    3,919.77x = 11,636,735.73
  5. Step 5: Solve for x
    x = 11,636,735.73/3,919.77
  6. Step 6: Final answer
    x = 2,968.73

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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.