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Finding the Fourth Proportional to 3,462.22, 5,194.08 and 1,270.96

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Solution

The fourth proportional to 3,462.22, 5,194.08 and 1,270.96 is: 1,906.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.22 : 5,194.08 = 1,270.96 : x
  2. Step 2: Convert to fraction form
    3,462.22/5,194.08 = 1,270.96/x
  3. Step 3: Cross multiply
    3,462.22x = 5,194.08 × 1,270.96
  4. Step 4: Simplify right side
    3,462.22x = 6,601,467.92
  5. Step 5: Solve for x
    x = 6,601,467.92/3,462.22
  6. Step 6: Final answer
    x = 1,906.72

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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.