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Finding the Fourth Proportional to 5,157.69, 7,114.41 and 3,166.31

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Solution

The fourth proportional to 5,157.69, 7,114.41 and 3,166.31 is: 4,367.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.69 : 7,114.41 = 3,166.31 : x
  2. Step 2: Convert to fraction form
    5,157.69/7,114.41 = 3,166.31/x
  3. Step 3: Cross multiply
    5,157.69x = 7,114.41 × 3,166.31
  4. Step 4: Simplify right side
    5,157.69x = 22,526,391.96
  5. Step 5: Solve for x
    x = 22,526,391.96/5,157.69
  6. Step 6: Final answer
    x = 4,367.54

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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.