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Finding the Fourth Proportional to 5,744.44, 8,616.48 and 2,414.46

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Solution

The fourth proportional to 5,744.44, 8,616.48 and 2,414.46 is: 3,621.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.44 : 8,616.48 = 2,414.46 : x
  2. Step 2: Convert to fraction form
    5,744.44/8,616.48 = 2,414.46/x
  3. Step 3: Cross multiply
    5,744.44x = 8,616.48 × 2,414.46
  4. Step 4: Simplify right side
    5,744.44x = 20,804,146.30
  5. Step 5: Solve for x
    x = 20,804,146.30/5,744.44
  6. Step 6: Final answer
    x = 3,621.61

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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.