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Finding the Fourth Proportional to 4,940.50, 7,406.88 and 2,474.04

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Solution

The fourth proportional to 4,940.50, 7,406.88 and 2,474.04 is: 3,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.50 : 7,406.88 = 2,474.04 : x
  2. Step 2: Convert to fraction form
    4,940.50/7,406.88 = 2,474.04/x
  3. Step 3: Cross multiply
    4,940.50x = 7,406.88 × 2,474.04
  4. Step 4: Simplify right side
    4,940.50x = 18,324,917.40
  5. Step 5: Solve for x
    x = 18,324,917.40/4,940.50
  6. Step 6: Final answer
    x = 3,709.12

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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.