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Finding the Fourth Proportional to 5,967.42, 8,945.73 and 2,678.82

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Solution

The fourth proportional to 5,967.42, 8,945.73 and 2,678.82 is: 4,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.42 : 8,945.73 = 2,678.82 : x
  2. Step 2: Convert to fraction form
    5,967.42/8,945.73 = 2,678.82/x
  3. Step 3: Cross multiply
    5,967.42x = 8,945.73 × 2,678.82
  4. Step 4: Simplify right side
    5,967.42x = 23,964,000.44
  5. Step 5: Solve for x
    x = 23,964,000.44/5,967.42
  6. Step 6: Final answer
    x = 4,015.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.