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Finding the Fourth Proportional to 5,935.70, 8,192.36 and 3,813.88

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Solution

The fourth proportional to 5,935.70, 8,192.36 and 3,813.88 is: 5,263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.70 : 8,192.36 = 3,813.88 : x
  2. Step 2: Convert to fraction form
    5,935.70/8,192.36 = 3,813.88/x
  3. Step 3: Cross multiply
    5,935.70x = 8,192.36 × 3,813.88
  4. Step 4: Simplify right side
    5,935.70x = 31,244,664.10
  5. Step 5: Solve for x
    x = 31,244,664.10/5,935.70
  6. Step 6: Final answer
    x = 5,263.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.