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Finding the Fourth Proportional to 3,684.79, 5,084.85 and 2,006.20

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Solution

The fourth proportional to 3,684.79, 5,084.85 and 2,006.20 is: 2,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.79 : 5,084.85 = 2,006.20 : x
  2. Step 2: Convert to fraction form
    3,684.79/5,084.85 = 2,006.20/x
  3. Step 3: Cross multiply
    3,684.79x = 5,084.85 × 2,006.20
  4. Step 4: Simplify right side
    3,684.79x = 10,201,228.66
  5. Step 5: Solve for x
    x = 10,201,228.66/3,684.79
  6. Step 6: Final answer
    x = 2,768.47

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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.