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Finding the Fourth Proportional to 3,937.58, 5,906.99 and 1,305.17

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Solution

The fourth proportional to 3,937.58, 5,906.99 and 1,305.17 is: 1,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.58 : 5,906.99 = 1,305.17 : x
  2. Step 2: Convert to fraction form
    3,937.58/5,906.99 = 1,305.17/x
  3. Step 3: Cross multiply
    3,937.58x = 5,906.99 × 1,305.17
  4. Step 4: Simplify right side
    3,937.58x = 7,709,640.91
  5. Step 5: Solve for x
    x = 7,709,640.91/3,937.58
  6. Step 6: Final answer
    x = 1,957.97

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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.