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Finding the Fourth Proportional to 3,906.77, 5,855.90 and 1,439.51

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Solution

The fourth proportional to 3,906.77, 5,855.90 and 1,439.51 is: 2,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.77 : 5,855.90 = 1,439.51 : x
  2. Step 2: Convert to fraction form
    3,906.77/5,855.90 = 1,439.51/x
  3. Step 3: Cross multiply
    3,906.77x = 5,855.90 × 1,439.51
  4. Step 4: Simplify right side
    3,906.77x = 8,429,590.13
  5. Step 5: Solve for x
    x = 8,429,590.13/3,906.77
  6. Step 6: Final answer
    x = 2,157.69

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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.