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Finding the Fourth Proportional to 3,673.38, 5,505.92 and 1,825.78

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Solution

The fourth proportional to 3,673.38, 5,505.92 and 1,825.78 is: 2,736.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.38 : 5,505.92 = 1,825.78 : x
  2. Step 2: Convert to fraction form
    3,673.38/5,505.92 = 1,825.78/x
  3. Step 3: Cross multiply
    3,673.38x = 5,505.92 × 1,825.78
  4. Step 4: Simplify right side
    3,673.38x = 10,052,598.62
  5. Step 5: Solve for x
    x = 10,052,598.62/3,673.38
  6. Step 6: Final answer
    x = 2,736.61

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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.