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Finding the Fourth Proportional to 3,684.22, 5,082.99 and 2,090.71

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Solution

The fourth proportional to 3,684.22, 5,082.99 and 2,090.71 is: 2,884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.22 : 5,082.99 = 2,090.71 : x
  2. Step 2: Convert to fraction form
    3,684.22/5,082.99 = 2,090.71/x
  3. Step 3: Cross multiply
    3,684.22x = 5,082.99 × 2,090.71
  4. Step 4: Simplify right side
    3,684.22x = 10,627,058.02
  5. Step 5: Solve for x
    x = 10,627,058.02/3,684.22
  6. Step 6: Final answer
    x = 2,884.48

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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.