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Finding the Fourth Proportional to 3,782.48, 5,661.60 and 2,023.09

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Solution

The fourth proportional to 3,782.48, 5,661.60 and 2,023.09 is: 3,028.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.48 : 5,661.60 = 2,023.09 : x
  2. Step 2: Convert to fraction form
    3,782.48/5,661.60 = 2,023.09/x
  3. Step 3: Cross multiply
    3,782.48x = 5,661.60 × 2,023.09
  4. Step 4: Simplify right side
    3,782.48x = 11,453,912.57
  5. Step 5: Solve for x
    x = 11,453,912.57/3,782.48
  6. Step 6: Final answer
    x = 3,028.14

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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.