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Finding the Fourth Proportional to 5,936.71, 8,208.31 and 5,198.60

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Solution

The fourth proportional to 5,936.71, 8,208.31 and 5,198.60 is: 7,187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.71 : 8,208.31 = 5,198.60 : x
  2. Step 2: Convert to fraction form
    5,936.71/8,208.31 = 5,198.60/x
  3. Step 3: Cross multiply
    5,936.71x = 8,208.31 × 5,198.60
  4. Step 4: Simplify right side
    5,936.71x = 42,671,706.09
  5. Step 5: Solve for x
    x = 42,671,706.09/5,936.71
  6. Step 6: Final answer
    x = 7,187.77

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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.