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Finding the Fourth Proportional to 5,937.97, 8,910.94 and 3,166.56

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Solution

The fourth proportional to 5,937.97, 8,910.94 and 3,166.56 is: 4,751.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,937.97 : 8,910.94 = 3,166.56 : x
  2. Step 2: Convert to fraction form
    5,937.97/8,910.94 = 3,166.56/x
  3. Step 3: Cross multiply
    5,937.97x = 8,910.94 × 3,166.56
  4. Step 4: Simplify right side
    5,937.97x = 28,217,026.17
  5. Step 5: Solve for x
    x = 28,217,026.17/5,937.97
  6. Step 6: Final answer
    x = 4,751.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.