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Finding the Fourth Proportional to 4,969.46, 6,857.88 and 2,731.39

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Solution

The fourth proportional to 4,969.46, 6,857.88 and 2,731.39 is: 3,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.46 : 6,857.88 = 2,731.39 : x
  2. Step 2: Convert to fraction form
    4,969.46/6,857.88 = 2,731.39/x
  3. Step 3: Cross multiply
    4,969.46x = 6,857.88 × 2,731.39
  4. Step 4: Simplify right side
    4,969.46x = 18,731,544.85
  5. Step 5: Solve for x
    x = 18,731,544.85/4,969.46
  6. Step 6: Final answer
    x = 3,769.33

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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.