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Finding the Fourth Proportional to 4,477.41, 6,181.72 and 4,198.57

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Solution

The fourth proportional to 4,477.41, 6,181.72 and 4,198.57 is: 5,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477.41 : 6,181.72 = 4,198.57 : x
  2. Step 2: Convert to fraction form
    4,477.41/6,181.72 = 4,198.57/x
  3. Step 3: Cross multiply
    4,477.41x = 6,181.72 × 4,198.57
  4. Step 4: Simplify right side
    4,477.41x = 25,954,358.19
  5. Step 5: Solve for x
    x = 25,954,358.19/4,477.41
  6. Step 6: Final answer
    x = 5,796.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.