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Finding the Fourth Proportional to 4,896.42, 7,328.01 and 2,949.99

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Solution

The fourth proportional to 4,896.42, 7,328.01 and 2,949.99 is: 4,414.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.42 : 7,328.01 = 2,949.99 : x
  2. Step 2: Convert to fraction form
    4,896.42/7,328.01 = 2,949.99/x
  3. Step 3: Cross multiply
    4,896.42x = 7,328.01 × 2,949.99
  4. Step 4: Simplify right side
    4,896.42x = 21,617,556.22
  5. Step 5: Solve for x
    x = 21,617,556.22/4,896.42
  6. Step 6: Final answer
    x = 4,414.97

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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.