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Finding the Fourth Proportional to 5,974.50, 8,964.99 and 2,896.50

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Solution

The fourth proportional to 5,974.50, 8,964.99 and 2,896.50 is: 4,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.50 : 8,964.99 = 2,896.50 : x
  2. Step 2: Convert to fraction form
    5,974.50/8,964.99 = 2,896.50/x
  3. Step 3: Cross multiply
    5,974.50x = 8,964.99 × 2,896.50
  4. Step 4: Simplify right side
    5,974.50x = 25,967,093.54
  5. Step 5: Solve for x
    x = 25,967,093.54/5,974.50
  6. Step 6: Final answer
    x = 4,346.32

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1.5x scale

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.