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Finding the Fourth Proportional to 3,795.67, 5,693.07 and 1,022.54

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Solution

The fourth proportional to 3,795.67, 5,693.07 and 1,022.54 is: 1,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.67 : 5,693.07 = 1,022.54 : x
  2. Step 2: Convert to fraction form
    3,795.67/5,693.07 = 1,022.54/x
  3. Step 3: Cross multiply
    3,795.67x = 5,693.07 × 1,022.54
  4. Step 4: Simplify right side
    3,795.67x = 5,821,391.80
  5. Step 5: Solve for x
    x = 5,821,391.80/3,795.67
  6. Step 6: Final answer
    x = 1,533.69

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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.