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Finding the Fourth Proportional to 3,919.76, 5,409.34 and 2,151.26

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Solution

The fourth proportional to 3,919.76, 5,409.34 and 2,151.26 is: 2,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.76 : 5,409.34 = 2,151.26 : x
  2. Step 2: Convert to fraction form
    3,919.76/5,409.34 = 2,151.26/x
  3. Step 3: Cross multiply
    3,919.76x = 5,409.34 × 2,151.26
  4. Step 4: Simplify right side
    3,919.76x = 11,636,896.77
  5. Step 5: Solve for x
    x = 11,636,896.77/3,919.76
  6. Step 6: Final answer
    x = 2,968.78

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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.