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Finding the Fourth Proportional to 3,685.80, 5,086.36 and 2,113.88

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Solution

The fourth proportional to 3,685.80, 5,086.36 and 2,113.88 is: 2,917.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.80 : 5,086.36 = 2,113.88 : x
  2. Step 2: Convert to fraction form
    3,685.80/5,086.36 = 2,113.88/x
  3. Step 3: Cross multiply
    3,685.80x = 5,086.36 × 2,113.88
  4. Step 4: Simplify right side
    3,685.80x = 10,751,954.68
  5. Step 5: Solve for x
    x = 10,751,954.68/3,685.80
  6. Step 6: Final answer
    x = 2,917.13

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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.