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Finding the Fourth Proportional to 5,936.16, 8,191.12 and 3,283.60

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Solution

The fourth proportional to 5,936.16, 8,191.12 and 3,283.60 is: 4,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.16 : 8,191.12 = 3,283.60 : x
  2. Step 2: Convert to fraction form
    5,936.16/8,191.12 = 3,283.60/x
  3. Step 3: Cross multiply
    5,936.16x = 8,191.12 × 3,283.60
  4. Step 4: Simplify right side
    5,936.16x = 26,896,361.63
  5. Step 5: Solve for x
    x = 26,896,361.63/5,936.16
  6. Step 6: Final answer
    x = 4,530.94

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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.