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Finding the Fourth Proportional to 3,795.26, 5,693.97 and 1,162.99

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Solution

The fourth proportional to 3,795.26, 5,693.97 and 1,162.99 is: 1,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.26 : 5,693.97 = 1,162.99 : x
  2. Step 2: Convert to fraction form
    3,795.26/5,693.97 = 1,162.99/x
  3. Step 3: Cross multiply
    3,795.26x = 5,693.97 × 1,162.99
  4. Step 4: Simplify right side
    3,795.26x = 6,622,001.70
  5. Step 5: Solve for x
    x = 6,622,001.70/3,795.26
  6. Step 6: Final answer
    x = 1,744.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.