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Finding the Fourth Proportional to 6,049.54, 9,074.40 and 2,153.85

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Solution

The fourth proportional to 6,049.54, 9,074.40 and 2,153.85 is: 3,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.54 : 9,074.40 = 2,153.85 : x
  2. Step 2: Convert to fraction form
    6,049.54/9,074.40 = 2,153.85/x
  3. Step 3: Cross multiply
    6,049.54x = 9,074.40 × 2,153.85
  4. Step 4: Simplify right side
    6,049.54x = 19,544,896.44
  5. Step 5: Solve for x
    x = 19,544,896.44/6,049.54
  6. Step 6: Final answer
    x = 3,230.81

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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.