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Finding the Fourth Proportional to 5,759.00, 7,945.38 and 3,770.65

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Solution

The fourth proportional to 5,759.00, 7,945.38 and 3,770.65 is: 5,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.00 : 7,945.38 = 3,770.65 : x
  2. Step 2: Convert to fraction form
    5,759.00/7,945.38 = 3,770.65/x
  3. Step 3: Cross multiply
    5,759.00x = 7,945.38 × 3,770.65
  4. Step 4: Simplify right side
    5,759.00x = 29,959,227.23
  5. Step 5: Solve for x
    x = 29,959,227.23/5,759.00
  6. Step 6: Final answer
    x = 5,202.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.