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Finding the Fourth Proportional to 5,963.84, 8,945.53 and 2,452.87

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Solution

The fourth proportional to 5,963.84, 8,945.53 and 2,452.87 is: 3,679.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.84 : 8,945.53 = 2,452.87 : x
  2. Step 2: Convert to fraction form
    5,963.84/8,945.53 = 2,452.87/x
  3. Step 3: Cross multiply
    5,963.84x = 8,945.53 × 2,452.87
  4. Step 4: Simplify right side
    5,963.84x = 21,942,193.68
  5. Step 5: Solve for x
    x = 21,942,193.68/5,963.84
  6. Step 6: Final answer
    x = 3,679.21

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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.