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Finding the Fourth Proportional to 4,198.80, 6,286.64 and 3,030

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Solution

The fourth proportional to 4,198.80, 6,286.64 and 3,030 is: 4,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.80 : 6,286.64 = 3,030 : x
  2. Step 2: Convert to fraction form
    4,198.80/6,286.64 = 3,030/x
  3. Step 3: Cross multiply
    4,198.80x = 6,286.64 × 3,030
  4. Step 4: Simplify right side
    4,198.80x = 19,048,519.20
  5. Step 5: Solve for x
    x = 19,048,519.20/4,198.80
  6. Step 6: Final answer
    x = 4,536.66

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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.