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Finding the Fourth Proportional to 5,438.22, 7,501.99 and 3,198.67

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Solution

The fourth proportional to 5,438.22, 7,501.99 and 3,198.67 is: 4,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.22 : 7,501.99 = 3,198.67 : x
  2. Step 2: Convert to fraction form
    5,438.22/7,501.99 = 3,198.67/x
  3. Step 3: Cross multiply
    5,438.22x = 7,501.99 × 3,198.67
  4. Step 4: Simplify right side
    5,438.22x = 23,996,390.35
  5. Step 5: Solve for x
    x = 23,996,390.35/5,438.22
  6. Step 6: Final answer
    x = 4,412.54

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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.