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Finding the Fourth Proportional to 4,493.57, 6,730.09 and 3,968

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Solution

The fourth proportional to 4,493.57, 6,730.09 and 3,968 is: 5,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.57 : 6,730.09 = 3,968 : x
  2. Step 2: Convert to fraction form
    4,493.57/6,730.09 = 3,968/x
  3. Step 3: Cross multiply
    4,493.57x = 6,730.09 × 3,968
  4. Step 4: Simplify right side
    4,493.57x = 26,704,977.28
  5. Step 5: Solve for x
    x = 26,704,977.28/4,493.57
  6. Step 6: Final answer
    x = 5,942.94

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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.