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Finding the Fourth Proportional to 3,549.96, 5,344.11 and 3,192.75

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Solution

The fourth proportional to 3,549.96, 5,344.11 and 3,192.75 is: 4,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.96 : 5,344.11 = 3,192.75 : x
  2. Step 2: Convert to fraction form
    3,549.96/5,344.11 = 3,192.75/x
  3. Step 3: Cross multiply
    3,549.96x = 5,344.11 × 3,192.75
  4. Step 4: Simplify right side
    3,549.96x = 17,062,407.20
  5. Step 5: Solve for x
    x = 17,062,407.20/3,549.96
  6. Step 6: Final answer
    x = 4,806.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.