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Finding the Fourth Proportional to 3,680.34, 5,080.74 and 2,839.15

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Solution

The fourth proportional to 3,680.34, 5,080.74 and 2,839.15 is: 3,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.34 : 5,080.74 = 2,839.15 : x
  2. Step 2: Convert to fraction form
    3,680.34/5,080.74 = 2,839.15/x
  3. Step 3: Cross multiply
    3,680.34x = 5,080.74 × 2,839.15
  4. Step 4: Simplify right side
    3,680.34x = 14,424,982.97
  5. Step 5: Solve for x
    x = 14,424,982.97/3,680.34
  6. Step 6: Final answer
    x = 3,919.48

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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.