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Finding the Fourth Proportional to 5,963.44, 8,949.27 and 2,453.68

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Solution

The fourth proportional to 5,963.44, 8,949.27 and 2,453.68 is: 3,682.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.44 : 8,949.27 = 2,453.68 : x
  2. Step 2: Convert to fraction form
    5,963.44/8,949.27 = 2,453.68/x
  3. Step 3: Cross multiply
    5,963.44x = 8,949.27 × 2,453.68
  4. Step 4: Simplify right side
    5,963.44x = 21,958,644.81
  5. Step 5: Solve for x
    x = 21,958,644.81/5,963.44
  6. Step 6: Final answer
    x = 3,682.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.