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Finding the Fourth Proportional to 3,894.90, 5,843.43 and 1,704.12

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Solution

The fourth proportional to 3,894.90, 5,843.43 and 1,704.12 is: 2,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.90 : 5,843.43 = 1,704.12 : x
  2. Step 2: Convert to fraction form
    3,894.90/5,843.43 = 1,704.12/x
  3. Step 3: Cross multiply
    3,894.90x = 5,843.43 × 1,704.12
  4. Step 4: Simplify right side
    3,894.90x = 9,957,905.93
  5. Step 5: Solve for x
    x = 9,957,905.93/3,894.90
  6. Step 6: Final answer
    x = 2,556.65

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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.