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Finding the Fourth Proportional to 5,450.80, 7,525.83 and 4,189.66

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Solution

The fourth proportional to 5,450.80, 7,525.83 and 4,189.66 is: 5,784.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,450.80 : 7,525.83 = 4,189.66 : x
  2. Step 2: Convert to fraction form
    5,450.80/7,525.83 = 4,189.66/x
  3. Step 3: Cross multiply
    5,450.80x = 7,525.83 × 4,189.66
  4. Step 4: Simplify right side
    5,450.80x = 31,530,668.92
  5. Step 5: Solve for x
    x = 31,530,668.92/5,450.80
  6. Step 6: Final answer
    x = 5,784.59

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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.