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Finding the Fourth Proportional to 4,936.14, 6,810.89 and 2,811.11

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Solution

The fourth proportional to 4,936.14, 6,810.89 and 2,811.11 is: 3,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,936.14 : 6,810.89 = 2,811.11 : x
  2. Step 2: Convert to fraction form
    4,936.14/6,810.89 = 2,811.11/x
  3. Step 3: Cross multiply
    4,936.14x = 6,810.89 × 2,811.11
  4. Step 4: Simplify right side
    4,936.14x = 19,146,112.88
  5. Step 5: Solve for x
    x = 19,146,112.88/4,936.14
  6. Step 6: Final answer
    x = 3,878.76

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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.