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Finding the Fourth Proportional to 3,695.22, 5,100.06 and 2,204

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Solution

The fourth proportional to 3,695.22, 5,100.06 and 2,204 is: 3,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.22 : 5,100.06 = 2,204 : x
  2. Step 2: Convert to fraction form
    3,695.22/5,100.06 = 2,204/x
  3. Step 3: Cross multiply
    3,695.22x = 5,100.06 × 2,204
  4. Step 4: Simplify right side
    3,695.22x = 11,240,532.24
  5. Step 5: Solve for x
    x = 11,240,532.24/3,695.22
  6. Step 6: Final answer
    x = 3,041.91

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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.