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Finding the Fourth Proportional to 5,745.14, 7,927.66 and 3,226.67

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Solution

The fourth proportional to 5,745.14, 7,927.66 and 3,226.67 is: 4,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,745.14 : 7,927.66 = 3,226.67 : x
  2. Step 2: Convert to fraction form
    5,745.14/7,927.66 = 3,226.67/x
  3. Step 3: Cross multiply
    5,745.14x = 7,927.66 × 3,226.67
  4. Step 4: Simplify right side
    5,745.14x = 25,579,886.92
  5. Step 5: Solve for x
    x = 25,579,886.92/5,745.14
  6. Step 6: Final answer
    x = 4,452.44

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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.