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Finding the Fourth Proportional to 3,825.73, 5,739 and 1,360.78

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Solution

The fourth proportional to 3,825.73, 5,739 and 1,360.78 is: 2,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.73 : 5,739 = 1,360.78 : x
  2. Step 2: Convert to fraction form
    3,825.73/5,739 = 1,360.78/x
  3. Step 3: Cross multiply
    3,825.73x = 5,739 × 1,360.78
  4. Step 4: Simplify right side
    3,825.73x = 7,809,516.42
  5. Step 5: Solve for x
    x = 7,809,516.42/3,825.73
  6. Step 6: Final answer
    x = 2,041.31

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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.