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Finding the Fourth Proportional to 3,884.37, 5,825.97 and 1,419.21

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Solution

The fourth proportional to 3,884.37, 5,825.97 and 1,419.21 is: 2,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.37 : 5,825.97 = 1,419.21 : x
  2. Step 2: Convert to fraction form
    3,884.37/5,825.97 = 1,419.21/x
  3. Step 3: Cross multiply
    3,884.37x = 5,825.97 × 1,419.21
  4. Step 4: Simplify right side
    3,884.37x = 8,268,274.88
  5. Step 5: Solve for x
    x = 8,268,274.88/3,884.37
  6. Step 6: Final answer
    x = 2,128.60

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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.