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Finding the Fourth Proportional to 5,398.67, 7,450.26 and 3,161.86

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Solution

The fourth proportional to 5,398.67, 7,450.26 and 3,161.86 is: 4,363.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.67 : 7,450.26 = 3,161.86 : x
  2. Step 2: Convert to fraction form
    5,398.67/7,450.26 = 3,161.86/x
  3. Step 3: Cross multiply
    5,398.67x = 7,450.26 × 3,161.86
  4. Step 4: Simplify right side
    5,398.67x = 23,556,679.08
  5. Step 5: Solve for x
    x = 23,556,679.08/5,398.67
  6. Step 6: Final answer
    x = 4,363.42

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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.