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Finding the Fourth Proportional to 3,644.24, 5,468.97 and 1,304.24

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Solution

The fourth proportional to 3,644.24, 5,468.97 and 1,304.24 is: 1,957.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.24 : 5,468.97 = 1,304.24 : x
  2. Step 2: Convert to fraction form
    3,644.24/5,468.97 = 1,304.24/x
  3. Step 3: Cross multiply
    3,644.24x = 5,468.97 × 1,304.24
  4. Step 4: Simplify right side
    3,644.24x = 7,132,849.43
  5. Step 5: Solve for x
    x = 7,132,849.43/3,644.24
  6. Step 6: Final answer
    x = 1,957.29

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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.