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Finding the Fourth Proportional to 3,426.01, 5,138.60 and 960.59

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Solution

The fourth proportional to 3,426.01, 5,138.60 and 960.59 is: 1,440.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.01 : 5,138.60 = 960.59 : x
  2. Step 2: Convert to fraction form
    3,426.01/5,138.60 = 960.59/x
  3. Step 3: Cross multiply
    3,426.01x = 5,138.60 × 960.59
  4. Step 4: Simplify right side
    3,426.01x = 4,936,087.77
  5. Step 5: Solve for x
    x = 4,936,087.77/3,426.01
  6. Step 6: Final answer
    x = 1,440.77

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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.