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Finding the Fourth Proportional to 3,936.41, 5,432.00 and 2,168.01

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Solution

The fourth proportional to 3,936.41, 5,432.00 and 2,168.01 is: 2,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.41 : 5,432.00 = 2,168.01 : x
  2. Step 2: Convert to fraction form
    3,936.41/5,432.00 = 2,168.01/x
  3. Step 3: Cross multiply
    3,936.41x = 5,432.00 × 2,168.01
  4. Step 4: Simplify right side
    3,936.41x = 11,776,635.74
  5. Step 5: Solve for x
    x = 11,776,635.74/3,936.41
  6. Step 6: Final answer
    x = 2,991.72

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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.