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Finding the Fourth Proportional to 5,768.62, 7,960.74 and 3,380.01

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Solution

The fourth proportional to 5,768.62, 7,960.74 and 3,380.01 is: 4,664.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.62 : 7,960.74 = 3,380.01 : x
  2. Step 2: Convert to fraction form
    5,768.62/7,960.74 = 3,380.01/x
  3. Step 3: Cross multiply
    5,768.62x = 7,960.74 × 3,380.01
  4. Step 4: Simplify right side
    5,768.62x = 26,907,338.28
  5. Step 5: Solve for x
    x = 26,907,338.28/5,768.62
  6. Step 6: Final answer
    x = 4,664.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.