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Finding the Fourth Proportional to 3,924.40, 5,879.40 and 3,305.20

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Solution

The fourth proportional to 3,924.40, 5,879.40 and 3,305.20 is: 4,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.40 : 5,879.40 = 3,305.20 : x
  2. Step 2: Convert to fraction form
    3,924.40/5,879.40 = 3,305.20/x
  3. Step 3: Cross multiply
    3,924.40x = 5,879.40 × 3,305.20
  4. Step 4: Simplify right side
    3,924.40x = 19,432,592.88
  5. Step 5: Solve for x
    x = 19,432,592.88/3,924.40
  6. Step 6: Final answer
    x = 4,951.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.