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Finding the Fourth Proportional to 4,866.36, 7,299.36 and 1,942.62

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Solution

The fourth proportional to 4,866.36, 7,299.36 and 1,942.62 is: 2,913.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.36 : 7,299.36 = 1,942.62 : x
  2. Step 2: Convert to fraction form
    4,866.36/7,299.36 = 1,942.62/x
  3. Step 3: Cross multiply
    4,866.36x = 7,299.36 × 1,942.62
  4. Step 4: Simplify right side
    4,866.36x = 14,179,882.72
  5. Step 5: Solve for x
    x = 14,179,882.72/4,866.36
  6. Step 6: Final answer
    x = 2,913.86

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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.