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Finding the Fourth Proportional to 3,433.39, 5,150.39 and 968.22

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Solution

The fourth proportional to 3,433.39, 5,150.39 and 968.22 is: 1,452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.39 : 5,150.39 = 968.22 : x
  2. Step 2: Convert to fraction form
    3,433.39/5,150.39 = 968.22/x
  3. Step 3: Cross multiply
    3,433.39x = 5,150.39 × 968.22
  4. Step 4: Simplify right side
    3,433.39x = 4,986,705.76
  5. Step 5: Solve for x
    x = 4,986,705.76/3,433.39
  6. Step 6: Final answer
    x = 1,452.42

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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.