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Finding the Fourth Proportional to 5,963.96, 8,230.64 and 3,446.16

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Solution

The fourth proportional to 5,963.96, 8,230.64 and 3,446.16 is: 4,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.96 : 8,230.64 = 3,446.16 : x
  2. Step 2: Convert to fraction form
    5,963.96/8,230.64 = 3,446.16/x
  3. Step 3: Cross multiply
    5,963.96x = 8,230.64 × 3,446.16
  4. Step 4: Simplify right side
    5,963.96x = 28,364,085.11
  5. Step 5: Solve for x
    x = 28,364,085.11/5,963.96
  6. Step 6: Final answer
    x = 4,755.92

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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.