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Finding the Fourth Proportional to 3,794.92, 5,686.26 and 2,494

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Solution

The fourth proportional to 3,794.92, 5,686.26 and 2,494 is: 3,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.92 : 5,686.26 = 2,494 : x
  2. Step 2: Convert to fraction form
    3,794.92/5,686.26 = 2,494/x
  3. Step 3: Cross multiply
    3,794.92x = 5,686.26 × 2,494
  4. Step 4: Simplify right side
    3,794.92x = 14,181,532.44
  5. Step 5: Solve for x
    x = 14,181,532.44/3,794.92
  6. Step 6: Final answer
    x = 3,736.98

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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.