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Finding the Fourth Proportional to 5,943.36, 8,203.20 and 3,954

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Solution

The fourth proportional to 5,943.36, 8,203.20 and 3,954 is: 5,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.36 : 8,203.20 = 3,954 : x
  2. Step 2: Convert to fraction form
    5,943.36/8,203.20 = 3,954/x
  3. Step 3: Cross multiply
    5,943.36x = 8,203.20 × 3,954
  4. Step 4: Simplify right side
    5,943.36x = 32,435,452.80
  5. Step 5: Solve for x
    x = 32,435,452.80/5,943.36
  6. Step 6: Final answer
    x = 5,457.43

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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.