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Finding the Fourth Proportional to 5,936.31, 8,191.71 and 3,417.84

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Solution

The fourth proportional to 5,936.31, 8,191.71 and 3,417.84 is: 4,716.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.31 : 8,191.71 = 3,417.84 : x
  2. Step 2: Convert to fraction form
    5,936.31/8,191.71 = 3,417.84/x
  3. Step 3: Cross multiply
    5,936.31x = 8,191.71 × 3,417.84
  4. Step 4: Simplify right side
    5,936.31x = 27,997,954.11
  5. Step 5: Solve for x
    x = 27,997,954.11/5,936.31
  6. Step 6: Final answer
    x = 4,716.39

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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.