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Finding the Fourth Proportional to 4,142.89, 5,713.24 and 3,197.18

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Solution

The fourth proportional to 4,142.89, 5,713.24 and 3,197.18 is: 4,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.89 : 5,713.24 = 3,197.18 : x
  2. Step 2: Convert to fraction form
    4,142.89/5,713.24 = 3,197.18/x
  3. Step 3: Cross multiply
    4,142.89x = 5,713.24 × 3,197.18
  4. Step 4: Simplify right side
    4,142.89x = 18,266,262.95
  5. Step 5: Solve for x
    x = 18,266,262.95/4,142.89
  6. Step 6: Final answer
    x = 4,409.07

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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.