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Finding the Fourth Proportional to 3,833.33, 5,745.90 and 2,186.33

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Solution

The fourth proportional to 3,833.33, 5,745.90 and 2,186.33 is: 3,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.33 : 5,745.90 = 2,186.33 : x
  2. Step 2: Convert to fraction form
    3,833.33/5,745.90 = 2,186.33/x
  3. Step 3: Cross multiply
    3,833.33x = 5,745.90 × 2,186.33
  4. Step 4: Simplify right side
    3,833.33x = 12,562,433.55
  5. Step 5: Solve for x
    x = 12,562,433.55/3,833.33
  6. Step 6: Final answer
    x = 3,277.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.