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Finding the Fourth Proportional to 4,969.83, 6,858.34 and 2,731.75

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Solution

The fourth proportional to 4,969.83, 6,858.34 and 2,731.75 is: 3,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.83 : 6,858.34 = 2,731.75 : x
  2. Step 2: Convert to fraction form
    4,969.83/6,858.34 = 2,731.75/x
  3. Step 3: Cross multiply
    4,969.83x = 6,858.34 × 2,731.75
  4. Step 4: Simplify right side
    4,969.83x = 18,735,270.30
  5. Step 5: Solve for x
    x = 18,735,270.30/4,969.83
  6. Step 6: Final answer
    x = 3,769.80

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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.