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Finding the Fourth Proportional to 3,664.44, 5,057.64 and 2,268

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Solution

The fourth proportional to 3,664.44, 5,057.64 and 2,268 is: 3,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.44 : 5,057.64 = 2,268 : x
  2. Step 2: Convert to fraction form
    3,664.44/5,057.64 = 2,268/x
  3. Step 3: Cross multiply
    3,664.44x = 5,057.64 × 2,268
  4. Step 4: Simplify right side
    3,664.44x = 11,470,727.52
  5. Step 5: Solve for x
    x = 11,470,727.52/3,664.44
  6. Step 6: Final answer
    x = 3,130.28

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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.