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Finding the Fourth Proportional to 3,937.91, 5,912.31 and 2,089.89

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Solution

The fourth proportional to 3,937.91, 5,912.31 and 2,089.89 is: 3,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.91 : 5,912.31 = 2,089.89 : x
  2. Step 2: Convert to fraction form
    3,937.91/5,912.31 = 2,089.89/x
  3. Step 3: Cross multiply
    3,937.91x = 5,912.31 × 2,089.89
  4. Step 4: Simplify right side
    3,937.91x = 12,356,077.55
  5. Step 5: Solve for x
    x = 12,356,077.55/3,937.91
  6. Step 6: Final answer
    x = 3,137.73

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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.