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Finding the Fourth Proportional to 5,453.67, 8,180.42 and 1,349.67

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Solution

The fourth proportional to 5,453.67, 8,180.42 and 1,349.67 is: 2,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.67 : 8,180.42 = 1,349.67 : x
  2. Step 2: Convert to fraction form
    5,453.67/8,180.42 = 1,349.67/x
  3. Step 3: Cross multiply
    5,453.67x = 8,180.42 × 1,349.67
  4. Step 4: Simplify right side
    5,453.67x = 11,040,860.71
  5. Step 5: Solve for x
    x = 11,040,860.71/5,453.67
  6. Step 6: Final answer
    x = 2,024.48

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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.