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Finding the Fourth Proportional to 3,653.44, 5,469.60 and 2,262.57

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Solution

The fourth proportional to 3,653.44, 5,469.60 and 2,262.57 is: 3,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.44 : 5,469.60 = 2,262.57 : x
  2. Step 2: Convert to fraction form
    3,653.44/5,469.60 = 2,262.57/x
  3. Step 3: Cross multiply
    3,653.44x = 5,469.60 × 2,262.57
  4. Step 4: Simplify right side
    3,653.44x = 12,375,352.87
  5. Step 5: Solve for x
    x = 12,375,352.87/3,653.44
  6. Step 6: Final answer
    x = 3,387.32

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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.