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Finding the Fourth Proportional to 3,059.87, 4,589.82 and 1,211.85

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Solution

The fourth proportional to 3,059.87, 4,589.82 and 1,211.85 is: 1,817.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.87 : 4,589.82 = 1,211.85 : x
  2. Step 2: Convert to fraction form
    3,059.87/4,589.82 = 1,211.85/x
  3. Step 3: Cross multiply
    3,059.87x = 4,589.82 × 1,211.85
  4. Step 4: Simplify right side
    3,059.87x = 5,562,173.37
  5. Step 5: Solve for x
    x = 5,562,173.37/3,059.87
  6. Step 6: Final answer
    x = 1,817.78

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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.