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Finding the Fourth Proportional to 3,686.49, 5,087.07 and 2,194.74

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Solution

The fourth proportional to 3,686.49, 5,087.07 and 2,194.74 is: 3,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.49 : 5,087.07 = 2,194.74 : x
  2. Step 2: Convert to fraction form
    3,686.49/5,087.07 = 2,194.74/x
  3. Step 3: Cross multiply
    3,686.49x = 5,087.07 × 2,194.74
  4. Step 4: Simplify right side
    3,686.49x = 11,164,796.01
  5. Step 5: Solve for x
    x = 11,164,796.01/3,686.49
  6. Step 6: Final answer
    x = 3,028.57

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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.