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Finding the Fourth Proportional to 3,638.54, 5,023.41 and 2,243.18

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Solution

The fourth proportional to 3,638.54, 5,023.41 and 2,243.18 is: 3,096.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638.54 : 5,023.41 = 2,243.18 : x
  2. Step 2: Convert to fraction form
    3,638.54/5,023.41 = 2,243.18/x
  3. Step 3: Cross multiply
    3,638.54x = 5,023.41 × 2,243.18
  4. Step 4: Simplify right side
    3,638.54x = 11,268,412.84
  5. Step 5: Solve for x
    x = 11,268,412.84/3,638.54
  6. Step 6: Final answer
    x = 3,096.96

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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.