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Finding the Fourth Proportional to 3,684.84, 5,523.93 and 2,204.52

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Solution

The fourth proportional to 3,684.84, 5,523.93 and 2,204.52 is: 3,304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.84 : 5,523.93 = 2,204.52 : x
  2. Step 2: Convert to fraction form
    3,684.84/5,523.93 = 2,204.52/x
  3. Step 3: Cross multiply
    3,684.84x = 5,523.93 × 2,204.52
  4. Step 4: Simplify right side
    3,684.84x = 12,177,614.16
  5. Step 5: Solve for x
    x = 12,177,614.16/3,684.84
  6. Step 6: Final answer
    x = 3,304.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.