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Finding the Fourth Proportional to 3,762.27, 5,639.07 and 2,027.25

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Solution

The fourth proportional to 3,762.27, 5,639.07 and 2,027.25 is: 3,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.27 : 5,639.07 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    3,762.27/5,639.07 = 2,027.25/x
  3. Step 3: Cross multiply
    3,762.27x = 5,639.07 × 2,027.25
  4. Step 4: Simplify right side
    3,762.27x = 11,431,804.66
  5. Step 5: Solve for x
    x = 11,431,804.66/3,762.27
  6. Step 6: Final answer
    x = 3,038.54

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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.