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Finding the Fourth Proportional to 5,963.64, 8,230.09 and 3,446.08

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Solution

The fourth proportional to 5,963.64, 8,230.09 and 3,446.08 is: 4,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.64 : 8,230.09 = 3,446.08 : x
  2. Step 2: Convert to fraction form
    5,963.64/8,230.09 = 3,446.08/x
  3. Step 3: Cross multiply
    5,963.64x = 8,230.09 × 3,446.08
  4. Step 4: Simplify right side
    5,963.64x = 28,361,548.55
  5. Step 5: Solve for x
    x = 28,361,548.55/5,963.64
  6. Step 6: Final answer
    x = 4,755.74

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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.