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Finding the Fourth Proportional to 4,146.95, 6,221.41 and 1,185.44

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Solution

The fourth proportional to 4,146.95, 6,221.41 and 1,185.44 is: 1,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.95 : 6,221.41 = 1,185.44 : x
  2. Step 2: Convert to fraction form
    4,146.95/6,221.41 = 1,185.44/x
  3. Step 3: Cross multiply
    4,146.95x = 6,221.41 × 1,185.44
  4. Step 4: Simplify right side
    4,146.95x = 7,375,074.20
  5. Step 5: Solve for x
    x = 7,375,074.20/4,146.95
  6. Step 6: Final answer
    x = 1,778.43

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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.