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Finding the Fourth Proportional to 5,906.64, 8,150.94 and 3,253.86

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Solution

The fourth proportional to 5,906.64, 8,150.94 and 3,253.86 is: 4,490.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.64 : 8,150.94 = 3,253.86 : x
  2. Step 2: Convert to fraction form
    5,906.64/8,150.94 = 3,253.86/x
  3. Step 3: Cross multiply
    5,906.64x = 8,150.94 × 3,253.86
  4. Step 4: Simplify right side
    5,906.64x = 26,522,017.63
  5. Step 5: Solve for x
    x = 26,522,017.63/5,906.64
  6. Step 6: Final answer
    x = 4,490.20

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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.