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Finding the Fourth Proportional to 5,792.97, 8,689.41 and 2,093.82

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Solution

The fourth proportional to 5,792.97, 8,689.41 and 2,093.82 is: 3,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.97 : 8,689.41 = 2,093.82 : x
  2. Step 2: Convert to fraction form
    5,792.97/8,689.41 = 2,093.82/x
  3. Step 3: Cross multiply
    5,792.97x = 8,689.41 × 2,093.82
  4. Step 4: Simplify right side
    5,792.97x = 18,194,060.45
  5. Step 5: Solve for x
    x = 18,194,060.45/5,792.97
  6. Step 6: Final answer
    x = 3,140.71

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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.