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Finding the Fourth Proportional to 5,906.30, 8,150.67 and 3,253.86

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Solution

The fourth proportional to 5,906.30, 8,150.67 and 3,253.86 is: 4,490.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.30 : 8,150.67 = 3,253.86 : x
  2. Step 2: Convert to fraction form
    5,906.30/8,150.67 = 3,253.86/x
  3. Step 3: Cross multiply
    5,906.30x = 8,150.67 × 3,253.86
  4. Step 4: Simplify right side
    5,906.30x = 26,521,139.09
  5. Step 5: Solve for x
    x = 26,521,139.09/5,906.30
  6. Step 6: Final answer
    x = 4,490.32

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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.