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Finding the Fourth Proportional to 4,984.49, 7,477.91 and 2,794.73

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Solution

The fourth proportional to 4,984.49, 7,477.91 and 2,794.73 is: 4,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.49 : 7,477.91 = 2,794.73 : x
  2. Step 2: Convert to fraction form
    4,984.49/7,477.91 = 2,794.73/x
  3. Step 3: Cross multiply
    4,984.49x = 7,477.91 × 2,794.73
  4. Step 4: Simplify right side
    4,984.49x = 20,898,739.41
  5. Step 5: Solve for x
    x = 20,898,739.41/4,984.49
  6. Step 6: Final answer
    x = 4,192.75

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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.