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Finding the Fourth Proportional to 3,825.44, 5,733.54 and 1,975.54

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Solution

The fourth proportional to 3,825.44, 5,733.54 and 1,975.54 is: 2,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.44 : 5,733.54 = 1,975.54 : x
  2. Step 2: Convert to fraction form
    3,825.44/5,733.54 = 1,975.54/x
  3. Step 3: Cross multiply
    3,825.44x = 5,733.54 × 1,975.54
  4. Step 4: Simplify right side
    3,825.44x = 11,326,837.37
  5. Step 5: Solve for x
    x = 11,326,837.37/3,825.44
  6. Step 6: Final answer
    x = 2,960.93

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