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Finding the Fourth Proportional to 3,946.80, 5,447.80 and 2,768.16

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Solution

The fourth proportional to 3,946.80, 5,447.80 and 2,768.16 is: 3,820.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.80 : 5,447.80 = 2,768.16 : x
  2. Step 2: Convert to fraction form
    3,946.80/5,447.80 = 2,768.16/x
  3. Step 3: Cross multiply
    3,946.80x = 5,447.80 × 2,768.16
  4. Step 4: Simplify right side
    3,946.80x = 15,080,382.05
  5. Step 5: Solve for x
    x = 15,080,382.05/3,946.80
  6. Step 6: Final answer
    x = 3,820.91

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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.