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Finding the Fourth Proportional to 3,680.71, 5,080.26 and 2,109.73

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Solution

The fourth proportional to 3,680.71, 5,080.26 and 2,109.73 is: 2,911.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.71 : 5,080.26 = 2,109.73 : x
  2. Step 2: Convert to fraction form
    3,680.71/5,080.26 = 2,109.73/x
  3. Step 3: Cross multiply
    3,680.71x = 5,080.26 × 2,109.73
  4. Step 4: Simplify right side
    3,680.71x = 10,717,976.93
  5. Step 5: Solve for x
    x = 10,717,976.93/3,680.71
  6. Step 6: Final answer
    x = 2,911.93

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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.