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Finding the Fourth Proportional to 4,891.28, 6,750 and 2,766.92

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Solution

The fourth proportional to 4,891.28, 6,750 and 2,766.92 is: 3,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.28 : 6,750 = 2,766.92 : x
  2. Step 2: Convert to fraction form
    4,891.28/6,750 = 2,766.92/x
  3. Step 3: Cross multiply
    4,891.28x = 6,750 × 2,766.92
  4. Step 4: Simplify right side
    4,891.28x = 18,676,676.25
  5. Step 5: Solve for x
    x = 18,676,676.25/4,891.28
  6. Step 6: Final answer
    x = 3,818.37

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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.