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Finding the Fourth Proportional to 5,936.47, 8,191.78 and 3,283.82

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Solution

The fourth proportional to 5,936.47, 8,191.78 and 3,283.82 is: 4,531.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.47 : 8,191.78 = 3,283.82 : x
  2. Step 2: Convert to fraction form
    5,936.47/8,191.78 = 3,283.82/x
  3. Step 3: Cross multiply
    5,936.47x = 8,191.78 × 3,283.82
  4. Step 4: Simplify right side
    5,936.47x = 26,900,314.58
  5. Step 5: Solve for x
    x = 26,900,314.58/5,936.47
  6. Step 6: Final answer
    x = 4,531.37

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1.5x scale

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.