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Finding the Fourth Proportional to 3,651.52, 5,481.38 and 1,461.79

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Solution

The fourth proportional to 3,651.52, 5,481.38 and 1,461.79 is: 2,194.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.52 : 5,481.38 = 1,461.79 : x
  2. Step 2: Convert to fraction form
    3,651.52/5,481.38 = 1,461.79/x
  3. Step 3: Cross multiply
    3,651.52x = 5,481.38 × 1,461.79
  4. Step 4: Simplify right side
    3,651.52x = 8,012,626.47
  5. Step 5: Solve for x
    x = 8,012,626.47/3,651.52
  6. Step 6: Final answer
    x = 2,194.33

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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.