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Finding the Fourth Proportional to 3,615.28, 5,418.84 and 1,640.56

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Solution

The fourth proportional to 3,615.28, 5,418.84 and 1,640.56 is: 2,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.28 : 5,418.84 = 1,640.56 : x
  2. Step 2: Convert to fraction form
    3,615.28/5,418.84 = 1,640.56/x
  3. Step 3: Cross multiply
    3,615.28x = 5,418.84 × 1,640.56
  4. Step 4: Simplify right side
    3,615.28x = 8,889,932.15
  5. Step 5: Solve for x
    x = 8,889,932.15/3,615.28
  6. Step 6: Final answer
    x = 2,458.99

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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.