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Finding the Fourth Proportional to 4,969.76, 6,858.23 and 2,731.77

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Solution

The fourth proportional to 4,969.76, 6,858.23 and 2,731.77 is: 3,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.76 : 6,858.23 = 2,731.77 : x
  2. Step 2: Convert to fraction form
    4,969.76/6,858.23 = 2,731.77/x
  3. Step 3: Cross multiply
    4,969.76x = 6,858.23 × 2,731.77
  4. Step 4: Simplify right side
    4,969.76x = 18,735,093.31
  5. Step 5: Solve for x
    x = 18,735,093.31/4,969.76
  6. Step 6: Final answer
    x = 3,769.82

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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.