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Finding the Fourth Proportional to 5,687.96, 8,524.56 and 2,912.32

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Solution

The fourth proportional to 5,687.96, 8,524.56 and 2,912.32 is: 4,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.96 : 8,524.56 = 2,912.32 : x
  2. Step 2: Convert to fraction form
    5,687.96/8,524.56 = 2,912.32/x
  3. Step 3: Cross multiply
    5,687.96x = 8,524.56 × 2,912.32
  4. Step 4: Simplify right side
    5,687.96x = 24,826,246.58
  5. Step 5: Solve for x
    x = 24,826,246.58/5,687.96
  6. Step 6: Final answer
    x = 4,364.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.