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Finding the Fourth Proportional to 5,936.65, 8,192.46 and 3,284.17

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Solution

The fourth proportional to 5,936.65, 8,192.46 and 3,284.17 is: 4,532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.65 : 8,192.46 = 3,284.17 : x
  2. Step 2: Convert to fraction form
    5,936.65/8,192.46 = 3,284.17/x
  3. Step 3: Cross multiply
    5,936.65x = 8,192.46 × 3,284.17
  4. Step 4: Simplify right side
    5,936.65x = 26,905,431.36
  5. Step 5: Solve for x
    x = 26,905,431.36/5,936.65
  6. Step 6: Final answer
    x = 4,532.09

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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.