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Finding the Fourth Proportional to 4,162.46, 5,745.13 and 2,836.69

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Solution

The fourth proportional to 4,162.46, 5,745.13 and 2,836.69 is: 3,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.46 : 5,745.13 = 2,836.69 : x
  2. Step 2: Convert to fraction form
    4,162.46/5,745.13 = 2,836.69/x
  3. Step 3: Cross multiply
    4,162.46x = 5,745.13 × 2,836.69
  4. Step 4: Simplify right side
    4,162.46x = 16,297,131.37
  5. Step 5: Solve for x
    x = 16,297,131.37/4,162.46
  6. Step 6: Final answer
    x = 3,915.27

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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.