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Finding the Fourth Proportional to 3,906.30, 5,855.68 and 1,439.77

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Solution

The fourth proportional to 3,906.30, 5,855.68 and 1,439.77 is: 2,158.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.30 : 5,855.68 = 1,439.77 : x
  2. Step 2: Convert to fraction form
    3,906.30/5,855.68 = 1,439.77/x
  3. Step 3: Cross multiply
    3,906.30x = 5,855.68 × 1,439.77
  4. Step 4: Simplify right side
    3,906.30x = 8,430,832.39
  5. Step 5: Solve for x
    x = 8,430,832.39/3,906.30
  6. Step 6: Final answer
    x = 2,158.27

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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.