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Finding the Fourth Proportional to 3,796.85, 5,695.23 and 1,199.78

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Solution

The fourth proportional to 3,796.85, 5,695.23 and 1,199.78 is: 1,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.85 : 5,695.23 = 1,199.78 : x
  2. Step 2: Convert to fraction form
    3,796.85/5,695.23 = 1,199.78/x
  3. Step 3: Cross multiply
    3,796.85x = 5,695.23 × 1,199.78
  4. Step 4: Simplify right side
    3,796.85x = 6,833,040.29
  5. Step 5: Solve for x
    x = 6,833,040.29/3,796.85
  6. Step 6: Final answer
    x = 1,799.66

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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.