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Finding the Fourth Proportional to 3,794.01, 5,238.16 and 2,450.22

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Solution

The fourth proportional to 3,794.01, 5,238.16 and 2,450.22 is: 3,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.01 : 5,238.16 = 2,450.22 : x
  2. Step 2: Convert to fraction form
    3,794.01/5,238.16 = 2,450.22/x
  3. Step 3: Cross multiply
    3,794.01x = 5,238.16 × 2,450.22
  4. Step 4: Simplify right side
    3,794.01x = 12,834,644.40
  5. Step 5: Solve for x
    x = 12,834,644.40/3,794.01
  6. Step 6: Final answer
    x = 3,382.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.