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Finding the Fourth Proportional to 3,627.36, 5,004 and 2,227.68

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Solution

The fourth proportional to 3,627.36, 5,004 and 2,227.68 is: 3,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.36 : 5,004 = 2,227.68 : x
  2. Step 2: Convert to fraction form
    3,627.36/5,004 = 2,227.68/x
  3. Step 3: Cross multiply
    3,627.36x = 5,004 × 2,227.68
  4. Step 4: Simplify right side
    3,627.36x = 11,147,310.72
  5. Step 5: Solve for x
    x = 11,147,310.72/3,627.36
  6. Step 6: Final answer
    x = 3,073.12

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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.