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Finding the Fourth Proportional to 3,794.80, 5,689.46 and 2,559.12

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Solution

The fourth proportional to 3,794.80, 5,689.46 and 2,559.12 is: 3,836.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.80 : 5,689.46 = 2,559.12 : x
  2. Step 2: Convert to fraction form
    3,794.80/5,689.46 = 2,559.12/x
  3. Step 3: Cross multiply
    3,794.80x = 5,689.46 × 2,559.12
  4. Step 4: Simplify right side
    3,794.80x = 14,560,010.88
  5. Step 5: Solve for x
    x = 14,560,010.88/3,794.80
  6. Step 6: Final answer
    x = 3,836.83

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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.