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Finding the Fourth Proportional to 5,936.64, 8,192.44 and 3,283.98

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Solution

The fourth proportional to 5,936.64, 8,192.44 and 3,283.98 is: 4,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.64 : 8,192.44 = 3,283.98 : x
  2. Step 2: Convert to fraction form
    5,936.64/8,192.44 = 3,283.98/x
  3. Step 3: Cross multiply
    5,936.64x = 8,192.44 × 3,283.98
  4. Step 4: Simplify right side
    5,936.64x = 26,903,809.11
  5. Step 5: Solve for x
    x = 26,903,809.11/5,936.64
  6. Step 6: Final answer
    x = 4,531.82

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Why These Related Problems?

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