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Finding the Fourth Proportional to 3,683.66, 5,083.53 and 2,090.41

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Solution

The fourth proportional to 3,683.66, 5,083.53 and 2,090.41 is: 2,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.66 : 5,083.53 = 2,090.41 : x
  2. Step 2: Convert to fraction form
    3,683.66/5,083.53 = 2,090.41/x
  3. Step 3: Cross multiply
    3,683.66x = 5,083.53 × 2,090.41
  4. Step 4: Simplify right side
    3,683.66x = 10,626,672.22
  5. Step 5: Solve for x
    x = 10,626,672.22/3,683.66
  6. Step 6: Final answer
    x = 2,884.81

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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.