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Finding the Fourth Proportional to 3,541.44, 5,308.43 and 1,199.22

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Solution

The fourth proportional to 3,541.44, 5,308.43 and 1,199.22 is: 1,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,541.44 : 5,308.43 = 1,199.22 : x
  2. Step 2: Convert to fraction form
    3,541.44/5,308.43 = 1,199.22/x
  3. Step 3: Cross multiply
    3,541.44x = 5,308.43 × 1,199.22
  4. Step 4: Simplify right side
    3,541.44x = 6,365,969.43
  5. Step 5: Solve for x
    x = 6,365,969.43/3,541.44
  6. Step 6: Final answer
    x = 1,797.57

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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.