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Finding the Fourth Proportional to 3,828.46, 5,745.14 and 2,074.67

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Solution

The fourth proportional to 3,828.46, 5,745.14 and 2,074.67 is: 3,113.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.46 : 5,745.14 = 2,074.67 : x
  2. Step 2: Convert to fraction form
    3,828.46/5,745.14 = 2,074.67/x
  3. Step 3: Cross multiply
    3,828.46x = 5,745.14 × 2,074.67
  4. Step 4: Simplify right side
    3,828.46x = 11,919,289.15
  5. Step 5: Solve for x
    x = 11,919,289.15/3,828.46
  6. Step 6: Final answer
    x = 3,113.34

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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.