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Finding the Fourth Proportional to 3,830.69, 5,746.04 and 1,198.21

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Solution

The fourth proportional to 3,830.69, 5,746.04 and 1,198.21 is: 1,797.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.69 : 5,746.04 = 1,198.21 : x
  2. Step 2: Convert to fraction form
    3,830.69/5,746.04 = 1,198.21/x
  3. Step 3: Cross multiply
    3,830.69x = 5,746.04 × 1,198.21
  4. Step 4: Simplify right side
    3,830.69x = 6,884,951.44
  5. Step 5: Solve for x
    x = 6,884,951.44/3,830.69
  6. Step 6: Final answer
    x = 1,797.32

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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.