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Finding the Fourth Proportional to 4,965.88, 6,851.78 and 2,976.80

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Solution

The fourth proportional to 4,965.88, 6,851.78 and 2,976.80 is: 4,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.88 : 6,851.78 = 2,976.80 : x
  2. Step 2: Convert to fraction form
    4,965.88/6,851.78 = 2,976.80/x
  3. Step 3: Cross multiply
    4,965.88x = 6,851.78 × 2,976.80
  4. Step 4: Simplify right side
    4,965.88x = 20,396,378.70
  5. Step 5: Solve for x
    x = 20,396,378.70/4,965.88
  6. Step 6: Final answer
    x = 4,107.30

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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.