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Finding the Fourth Proportional to 3,773.40, 5,661.42 and 1,825.08

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Solution

The fourth proportional to 3,773.40, 5,661.42 and 1,825.08 is: 2,738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.40 : 5,661.42 = 1,825.08 : x
  2. Step 2: Convert to fraction form
    3,773.40/5,661.42 = 1,825.08/x
  3. Step 3: Cross multiply
    3,773.40x = 5,661.42 × 1,825.08
  4. Step 4: Simplify right side
    3,773.40x = 10,332,544.41
  5. Step 5: Solve for x
    x = 10,332,544.41/3,773.40
  6. Step 6: Final answer
    x = 2,738.26

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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.