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Finding the Fourth Proportional to 3,812.64, 5,262.48 and 2,241.24

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Solution

The fourth proportional to 3,812.64, 5,262.48 and 2,241.24 is: 3,093.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.64 : 5,262.48 = 2,241.24 : x
  2. Step 2: Convert to fraction form
    3,812.64/5,262.48 = 2,241.24/x
  3. Step 3: Cross multiply
    3,812.64x = 5,262.48 × 2,241.24
  4. Step 4: Simplify right side
    3,812.64x = 11,794,480.68
  5. Step 5: Solve for x
    x = 11,794,480.68/3,812.64
  6. Step 6: Final answer
    x = 3,093.52

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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.