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Finding the Fourth Proportional to 3,919.13, 5,410.22 and 3,027.32

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Solution

The fourth proportional to 3,919.13, 5,410.22 and 3,027.32 is: 4,179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.13 : 5,410.22 = 3,027.32 : x
  2. Step 2: Convert to fraction form
    3,919.13/5,410.22 = 3,027.32/x
  3. Step 3: Cross multiply
    3,919.13x = 5,410.22 × 3,027.32
  4. Step 4: Simplify right side
    3,919.13x = 16,378,425.02
  5. Step 5: Solve for x
    x = 16,378,425.02/3,919.13
  6. Step 6: Final answer
    x = 4,179.10

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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.