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Finding the Fourth Proportional to 3,905.11, 5,857.63 and 1,957.28

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Solution

The fourth proportional to 3,905.11, 5,857.63 and 1,957.28 is: 2,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.11 : 5,857.63 = 1,957.28 : x
  2. Step 2: Convert to fraction form
    3,905.11/5,857.63 = 1,957.28/x
  3. Step 3: Cross multiply
    3,905.11x = 5,857.63 × 1,957.28
  4. Step 4: Simplify right side
    3,905.11x = 11,465,022.05
  5. Step 5: Solve for x
    x = 11,465,022.05/3,905.11
  6. Step 6: Final answer
    x = 2,935.90

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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.