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Finding the Fourth Proportional to 3,684.38, 5,084.43 and 2,005.88

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Solution

The fourth proportional to 3,684.38, 5,084.43 and 2,005.88 is: 2,768.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.38 : 5,084.43 = 2,005.88 : x
  2. Step 2: Convert to fraction form
    3,684.38/5,084.43 = 2,005.88/x
  3. Step 3: Cross multiply
    3,684.38x = 5,084.43 × 2,005.88
  4. Step 4: Simplify right side
    3,684.38x = 10,198,756.45
  5. Step 5: Solve for x
    x = 10,198,756.45/3,684.38
  6. Step 6: Final answer
    x = 2,768.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.