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Finding the Fourth Proportional to 5,768.93, 8,647.92 and 2,843.82

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Solution

The fourth proportional to 5,768.93, 8,647.92 and 2,843.82 is: 4,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.93 : 8,647.92 = 2,843.82 : x
  2. Step 2: Convert to fraction form
    5,768.93/8,647.92 = 2,843.82/x
  3. Step 3: Cross multiply
    5,768.93x = 8,647.92 × 2,843.82
  4. Step 4: Simplify right side
    5,768.93x = 24,593,127.85
  5. Step 5: Solve for x
    x = 24,593,127.85/5,768.93
  6. Step 6: Final answer
    x = 4,263.03

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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.