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Finding the Fourth Proportional to 3,894.84, 5,843.70 and 1,431.27

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Solution

The fourth proportional to 3,894.84, 5,843.70 and 1,431.27 is: 2,147.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.84 : 5,843.70 = 1,431.27 : x
  2. Step 2: Convert to fraction form
    3,894.84/5,843.70 = 1,431.27/x
  3. Step 3: Cross multiply
    3,894.84x = 5,843.70 × 1,431.27
  4. Step 4: Simplify right side
    3,894.84x = 8,363,912.50
  5. Step 5: Solve for x
    x = 8,363,912.50/3,894.84
  6. Step 6: Final answer
    x = 2,147.43

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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.