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Finding the Fourth Proportional to 3,616.14, 5,414.46 and 2,363.63

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Solution

The fourth proportional to 3,616.14, 5,414.46 and 2,363.63 is: 3,539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.14 : 5,414.46 = 2,363.63 : x
  2. Step 2: Convert to fraction form
    3,616.14/5,414.46 = 2,363.63/x
  3. Step 3: Cross multiply
    3,616.14x = 5,414.46 × 2,363.63
  4. Step 4: Simplify right side
    3,616.14x = 12,797,753.02
  5. Step 5: Solve for x
    x = 12,797,753.02/3,616.14
  6. Step 6: Final answer
    x = 3,539.06

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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.