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Finding the Fourth Proportional to 3,823.72, 5,737.20 and 2,090.32

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Solution

The fourth proportional to 3,823.72, 5,737.20 and 2,090.32 is: 3,136.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.72 : 5,737.20 = 2,090.32 : x
  2. Step 2: Convert to fraction form
    3,823.72/5,737.20 = 2,090.32/x
  3. Step 3: Cross multiply
    3,823.72x = 5,737.20 × 2,090.32
  4. Step 4: Simplify right side
    3,823.72x = 11,992,583.90
  5. Step 5: Solve for x
    x = 11,992,583.90/3,823.72
  6. Step 6: Final answer
    x = 3,136.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.