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Finding the Fourth Proportional to 5,906.96, 8,857.52 and 3,442.64

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Solution

The fourth proportional to 5,906.96, 8,857.52 and 3,442.64 is: 5,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.96 : 8,857.52 = 3,442.64 : x
  2. Step 2: Convert to fraction form
    5,906.96/8,857.52 = 3,442.64/x
  3. Step 3: Cross multiply
    5,906.96x = 8,857.52 × 3,442.64
  4. Step 4: Simplify right side
    5,906.96x = 30,493,252.65
  5. Step 5: Solve for x
    x = 30,493,252.65/5,906.96
  6. Step 6: Final answer
    x = 5,162.26

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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.