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Finding the Fourth Proportional to 3,799.15, 5,698.16 and 1,201.75

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Solution

The fourth proportional to 3,799.15, 5,698.16 and 1,201.75 is: 1,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.15 : 5,698.16 = 1,201.75 : x
  2. Step 2: Convert to fraction form
    3,799.15/5,698.16 = 1,201.75/x
  3. Step 3: Cross multiply
    3,799.15x = 5,698.16 × 1,201.75
  4. Step 4: Simplify right side
    3,799.15x = 6,847,757.77
  5. Step 5: Solve for x
    x = 6,847,757.77/3,799.15
  6. Step 6: Final answer
    x = 1,802.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.