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Finding the Fourth Proportional to 3,383.64, 4,673.09 and 2,324.20

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Solution

The fourth proportional to 3,383.64, 4,673.09 and 2,324.20 is: 3,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.64 : 4,673.09 = 2,324.20 : x
  2. Step 2: Convert to fraction form
    3,383.64/4,673.09 = 2,324.20/x
  3. Step 3: Cross multiply
    3,383.64x = 4,673.09 × 2,324.20
  4. Step 4: Simplify right side
    3,383.64x = 10,861,172.47
  5. Step 5: Solve for x
    x = 10,861,172.47/3,383.64
  6. Step 6: Final answer
    x = 3,209.91

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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.