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Finding the Fourth Proportional to 3,686.67, 5,087.19 and 2,194.95

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Solution

The fourth proportional to 3,686.67, 5,087.19 and 2,194.95 is: 3,028.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.67 : 5,087.19 = 2,194.95 : x
  2. Step 2: Convert to fraction form
    3,686.67/5,087.19 = 2,194.95/x
  3. Step 3: Cross multiply
    3,686.67x = 5,087.19 × 2,194.95
  4. Step 4: Simplify right side
    3,686.67x = 11,166,127.69
  5. Step 5: Solve for x
    x = 11,166,127.69/3,686.67
  6. Step 6: Final answer
    x = 3,028.78

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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.