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Finding the Fourth Proportional to 3,412.77, 5,115.96 and 3,108.44

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Solution

The fourth proportional to 3,412.77, 5,115.96 and 3,108.44 is: 4,659.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.77 : 5,115.96 = 3,108.44 : x
  2. Step 2: Convert to fraction form
    3,412.77/5,115.96 = 3,108.44/x
  3. Step 3: Cross multiply
    3,412.77x = 5,115.96 × 3,108.44
  4. Step 4: Simplify right side
    3,412.77x = 15,902,629.12
  5. Step 5: Solve for x
    x = 15,902,629.12/3,412.77
  6. Step 6: Final answer
    x = 4,659.74

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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.