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Finding the Fourth Proportional to 3,919.53, 5,409.05 and 2,151.12

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Solution

The fourth proportional to 3,919.53, 5,409.05 and 2,151.12 is: 2,968.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.53 : 5,409.05 = 2,151.12 : x
  2. Step 2: Convert to fraction form
    3,919.53/5,409.05 = 2,151.12/x
  3. Step 3: Cross multiply
    3,919.53x = 5,409.05 × 2,151.12
  4. Step 4: Simplify right side
    3,919.53x = 11,635,504.88
  5. Step 5: Solve for x
    x = 11,635,504.88/3,919.53
  6. Step 6: Final answer
    x = 2,968.60

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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.