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Finding the Fourth Proportional to 3,798.43, 5,697.41 and 1,825.47

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Solution

The fourth proportional to 3,798.43, 5,697.41 and 1,825.47 is: 2,738.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.43 : 5,697.41 = 1,825.47 : x
  2. Step 2: Convert to fraction form
    3,798.43/5,697.41 = 1,825.47/x
  3. Step 3: Cross multiply
    3,798.43x = 5,697.41 × 1,825.47
  4. Step 4: Simplify right side
    3,798.43x = 10,400,441.91
  5. Step 5: Solve for x
    x = 10,400,441.91/3,798.43
  6. Step 6: Final answer
    x = 2,738.09

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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.