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Finding the Fourth Proportional to 3,936.05, 5,431.76 and 2,167.76

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Solution

The fourth proportional to 3,936.05, 5,431.76 and 2,167.76 is: 2,991.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.05 : 5,431.76 = 2,167.76 : x
  2. Step 2: Convert to fraction form
    3,936.05/5,431.76 = 2,167.76/x
  3. Step 3: Cross multiply
    3,936.05x = 5,431.76 × 2,167.76
  4. Step 4: Simplify right side
    3,936.05x = 11,774,752.06
  5. Step 5: Solve for x
    x = 11,774,752.06/3,936.05
  6. Step 6: Final answer
    x = 2,991.51

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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.