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Finding the Fourth Proportional to 3,684.87, 5,085.11 and 2,006.27

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Solution

The fourth proportional to 3,684.87, 5,085.11 and 2,006.27 is: 2,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.87 : 5,085.11 = 2,006.27 : x
  2. Step 2: Convert to fraction form
    3,684.87/5,085.11 = 2,006.27/x
  3. Step 3: Cross multiply
    3,684.87x = 5,085.11 × 2,006.27
  4. Step 4: Simplify right side
    3,684.87x = 10,202,130.90
  5. Step 5: Solve for x
    x = 10,202,130.90/3,684.87
  6. Step 6: Final answer
    x = 2,768.65

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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.