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Finding the Fourth Proportional to 4,326.56, 5,972.64 and 2,834.56

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Solution

The fourth proportional to 4,326.56, 5,972.64 and 2,834.56 is: 3,912.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,326.56 : 5,972.64 = 2,834.56 : x
  2. Step 2: Convert to fraction form
    4,326.56/5,972.64 = 2,834.56/x
  3. Step 3: Cross multiply
    4,326.56x = 5,972.64 × 2,834.56
  4. Step 4: Simplify right side
    4,326.56x = 16,929,806.44
  5. Step 5: Solve for x
    x = 16,929,806.44/4,326.56
  6. Step 6: Final answer
    x = 3,912.99

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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.