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Finding the Fourth Proportional to 3,906.28, 5,860.14 and 1,957.48

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Solution

The fourth proportional to 3,906.28, 5,860.14 and 1,957.48 is: 2,936.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.28 : 5,860.14 = 1,957.48 : x
  2. Step 2: Convert to fraction form
    3,906.28/5,860.14 = 1,957.48/x
  3. Step 3: Cross multiply
    3,906.28x = 5,860.14 × 1,957.48
  4. Step 4: Simplify right side
    3,906.28x = 11,471,106.85
  5. Step 5: Solve for x
    x = 11,471,106.85/3,906.28
  6. Step 6: Final answer
    x = 2,936.58

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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.