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Finding the Fourth Proportional to 4,106.68, 5,667.20 and 2,243.68

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Solution

The fourth proportional to 4,106.68, 5,667.20 and 2,243.68 is: 3,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,106.68 : 5,667.20 = 2,243.68 : x
  2. Step 2: Convert to fraction form
    4,106.68/5,667.20 = 2,243.68/x
  3. Step 3: Cross multiply
    4,106.68x = 5,667.20 × 2,243.68
  4. Step 4: Simplify right side
    4,106.68x = 12,715,383.30
  5. Step 5: Solve for x
    x = 12,715,383.30/4,106.68
  6. Step 6: Final answer
    x = 3,096.27

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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.