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Finding the Fourth Proportional to 4,847.44, 6,688.43 and 2,857.27

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Solution

The fourth proportional to 4,847.44, 6,688.43 and 2,857.27 is: 3,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.44 : 6,688.43 = 2,857.27 : x
  2. Step 2: Convert to fraction form
    4,847.44/6,688.43 = 2,857.27/x
  3. Step 3: Cross multiply
    4,847.44x = 6,688.43 × 2,857.27
  4. Step 4: Simplify right side
    4,847.44x = 19,110,619.38
  5. Step 5: Solve for x
    x = 19,110,619.38/4,847.44
  6. Step 6: Final answer
    x = 3,942.42

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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.