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Finding the Fourth Proportional to 3,426.42, 5,138.55 and 960.60

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Solution

The fourth proportional to 3,426.42, 5,138.55 and 960.60 is: 1,440.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.42 : 5,138.55 = 960.60 : x
  2. Step 2: Convert to fraction form
    3,426.42/5,138.55 = 960.60/x
  3. Step 3: Cross multiply
    3,426.42x = 5,138.55 × 960.60
  4. Step 4: Simplify right side
    3,426.42x = 4,936,091.13
  5. Step 5: Solve for x
    x = 4,936,091.13/3,426.42
  6. Step 6: Final answer
    x = 1,440.60

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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.