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Finding the Fourth Proportional to 3,683.37, 5,083.17 and 2,090.03

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Solution

The fourth proportional to 3,683.37, 5,083.17 and 2,090.03 is: 2,884.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.37 : 5,083.17 = 2,090.03 : x
  2. Step 2: Convert to fraction form
    3,683.37/5,083.17 = 2,090.03/x
  3. Step 3: Cross multiply
    3,683.37x = 5,083.17 × 2,090.03
  4. Step 4: Simplify right side
    3,683.37x = 10,623,952.38
  5. Step 5: Solve for x
    x = 10,623,952.38/3,683.37
  6. Step 6: Final answer
    x = 2,884.30

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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.