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Finding the Fourth Proportional to 5,766.94, 8,644.93 and 2,841.82

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Solution

The fourth proportional to 5,766.94, 8,644.93 and 2,841.82 is: 4,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766.94 : 8,644.93 = 2,841.82 : x
  2. Step 2: Convert to fraction form
    5,766.94/8,644.93 = 2,841.82/x
  3. Step 3: Cross multiply
    5,766.94x = 8,644.93 × 2,841.82
  4. Step 4: Simplify right side
    5,766.94x = 24,567,334.97
  5. Step 5: Solve for x
    x = 24,567,334.97/5,766.94
  6. Step 6: Final answer
    x = 4,260.03

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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.