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Finding the Fourth Proportional to 4,167.07, 5,745.97 and 2,674.42

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Solution

The fourth proportional to 4,167.07, 5,745.97 and 2,674.42 is: 3,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167.07 : 5,745.97 = 2,674.42 : x
  2. Step 2: Convert to fraction form
    4,167.07/5,745.97 = 2,674.42/x
  3. Step 3: Cross multiply
    4,167.07x = 5,745.97 × 2,674.42
  4. Step 4: Simplify right side
    4,167.07x = 15,367,126.07
  5. Step 5: Solve for x
    x = 15,367,126.07/4,167.07
  6. Step 6: Final answer
    x = 3,687.76

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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.