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Finding the Fourth Proportional to 3,196.33, 4,409.91 and 1,936.98

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Solution

The fourth proportional to 3,196.33, 4,409.91 and 1,936.98 is: 2,672.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.33 : 4,409.91 = 1,936.98 : x
  2. Step 2: Convert to fraction form
    3,196.33/4,409.91 = 1,936.98/x
  3. Step 3: Cross multiply
    3,196.33x = 4,409.91 × 1,936.98
  4. Step 4: Simplify right side
    3,196.33x = 8,541,907.47
  5. Step 5: Solve for x
    x = 8,541,907.47/3,196.33
  6. Step 6: Final answer
    x = 2,672.41

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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.