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Finding the Fourth Proportional to 3,745.96, 5,167.46 and 2,860.22

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Solution

The fourth proportional to 3,745.96, 5,167.46 and 2,860.22 is: 3,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.96 : 5,167.46 = 2,860.22 : x
  2. Step 2: Convert to fraction form
    3,745.96/5,167.46 = 2,860.22/x
  3. Step 3: Cross multiply
    3,745.96x = 5,167.46 × 2,860.22
  4. Step 4: Simplify right side
    3,745.96x = 14,780,092.51
  5. Step 5: Solve for x
    x = 14,780,092.51/3,745.96
  6. Step 6: Final answer
    x = 3,945.61

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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.