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Finding the Fourth Proportional to 3,644.20, 5,463.51 and 1,694.98

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Solution

The fourth proportional to 3,644.20, 5,463.51 and 1,694.98 is: 2,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.20 : 5,463.51 = 1,694.98 : x
  2. Step 2: Convert to fraction form
    3,644.20/5,463.51 = 1,694.98/x
  3. Step 3: Cross multiply
    3,644.20x = 5,463.51 × 1,694.98
  4. Step 4: Simplify right side
    3,644.20x = 9,260,540.18
  5. Step 5: Solve for x
    x = 9,260,540.18/3,644.20
  6. Step 6: Final answer
    x = 2,541.17

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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.