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Finding the Fourth Proportional to 5,906.86, 8,151.27 and 3,254.31

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Solution

The fourth proportional to 5,906.86, 8,151.27 and 3,254.31 is: 4,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.86 : 8,151.27 = 3,254.31 : x
  2. Step 2: Convert to fraction form
    5,906.86/8,151.27 = 3,254.31/x
  3. Step 3: Cross multiply
    5,906.86x = 8,151.27 × 3,254.31
  4. Step 4: Simplify right side
    5,906.86x = 26,526,747.27
  5. Step 5: Solve for x
    x = 26,526,747.27/5,906.86
  6. Step 6: Final answer
    x = 4,490.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.