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Finding the Fourth Proportional to 3,911.16, 5,393.23 and 3,197.67

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Solution

The fourth proportional to 3,911.16, 5,393.23 and 3,197.67 is: 4,409.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.16 : 5,393.23 = 3,197.67 : x
  2. Step 2: Convert to fraction form
    3,911.16/5,393.23 = 3,197.67/x
  3. Step 3: Cross multiply
    3,911.16x = 5,393.23 × 3,197.67
  4. Step 4: Simplify right side
    3,911.16x = 17,245,769.77
  5. Step 5: Solve for x
    x = 17,245,769.77/3,911.16
  6. Step 6: Final answer
    x = 4,409.37

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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.