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Finding the Fourth Proportional to 3,836.68, 5,749.62 and 2,194

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Solution

The fourth proportional to 3,836.68, 5,749.62 and 2,194 is: 3,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.68 : 5,749.62 = 2,194 : x
  2. Step 2: Convert to fraction form
    3,836.68/5,749.62 = 2,194/x
  3. Step 3: Cross multiply
    3,836.68x = 5,749.62 × 2,194
  4. Step 4: Simplify right side
    3,836.68x = 12,614,666.28
  5. Step 5: Solve for x
    x = 12,614,666.28/3,836.68
  6. Step 6: Final answer
    x = 3,287.91

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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.