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Finding the Fourth Proportional to 3,608.87, 5,414.25 and 1,528.95

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Solution

The fourth proportional to 3,608.87, 5,414.25 and 1,528.95 is: 2,293.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.87 : 5,414.25 = 1,528.95 : x
  2. Step 2: Convert to fraction form
    3,608.87/5,414.25 = 1,528.95/x
  3. Step 3: Cross multiply
    3,608.87x = 5,414.25 × 1,528.95
  4. Step 4: Simplify right side
    3,608.87x = 8,278,143.57
  5. Step 5: Solve for x
    x = 8,278,143.57/3,608.87
  6. Step 6: Final answer
    x = 2,293.84

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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.