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Finding the Fourth Proportional to 3,683.22, 5,082.81 and 2,004.63

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Solution

The fourth proportional to 3,683.22, 5,082.81 and 2,004.63 is: 2,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.22 : 5,082.81 = 2,004.63 : x
  2. Step 2: Convert to fraction form
    3,683.22/5,082.81 = 2,004.63/x
  3. Step 3: Cross multiply
    3,683.22x = 5,082.81 × 2,004.63
  4. Step 4: Simplify right side
    3,683.22x = 10,189,153.41
  5. Step 5: Solve for x
    x = 10,189,153.41/3,683.22
  6. Step 6: Final answer
    x = 2,766.37

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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.