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Finding the Fourth Proportional to 3,919.66, 5,408.78 and 2,151.23

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Solution

The fourth proportional to 3,919.66, 5,408.78 and 2,151.23 is: 2,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.66 : 5,408.78 = 2,151.23 : x
  2. Step 2: Convert to fraction form
    3,919.66/5,408.78 = 2,151.23/x
  3. Step 3: Cross multiply
    3,919.66x = 5,408.78 × 2,151.23
  4. Step 4: Simplify right side
    3,919.66x = 11,635,492.00
  5. Step 5: Solve for x
    x = 11,635,492.00/3,919.66
  6. Step 6: Final answer
    x = 2,968.50

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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.