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Finding the Fourth Proportional to 4,936.41, 6,812.19 and 3,168

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Solution

The fourth proportional to 4,936.41, 6,812.19 and 3,168 is: 4,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.41 : 6,812.19 = 3,168 : x
  2. Step 2: Convert to fraction form
    4,936.41/6,812.19 = 3,168/x
  3. Step 3: Cross multiply
    4,936.41x = 6,812.19 × 3,168
  4. Step 4: Simplify right side
    4,936.41x = 21,581,017.92
  5. Step 5: Solve for x
    x = 21,581,017.92/4,936.41
  6. Step 6: Final answer
    x = 4,371.80

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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.