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Finding the Fourth Proportional to 3,685.95, 5,087.23 and 2,194.67

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Solution

The fourth proportional to 3,685.95, 5,087.23 and 2,194.67 is: 3,029.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.95 : 5,087.23 = 2,194.67 : x
  2. Step 2: Convert to fraction form
    3,685.95/5,087.23 = 2,194.67/x
  3. Step 3: Cross multiply
    3,685.95x = 5,087.23 × 2,194.67
  4. Step 4: Simplify right side
    3,685.95x = 11,164,791.06
  5. Step 5: Solve for x
    x = 11,164,791.06/3,685.95
  6. Step 6: Final answer
    x = 3,029.01

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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.