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Finding the Fourth Proportional to 3,685.88, 5,087.74 and 2,194.26

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Solution

The fourth proportional to 3,685.88, 5,087.74 and 2,194.26 is: 3,028.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.88 : 5,087.74 = 2,194.26 : x
  2. Step 2: Convert to fraction form
    3,685.88/5,087.74 = 2,194.26/x
  3. Step 3: Cross multiply
    3,685.88x = 5,087.74 × 2,194.26
  4. Step 4: Simplify right side
    3,685.88x = 11,163,824.37
  5. Step 5: Solve for x
    x = 11,163,824.37/3,685.88
  6. Step 6: Final answer
    x = 3,028.81

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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.