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Finding the Fourth Proportional to 3,798.82, 5,690.67 and 3,020.14

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Solution

The fourth proportional to 3,798.82, 5,690.67 and 3,020.14 is: 4,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.82 : 5,690.67 = 3,020.14 : x
  2. Step 2: Convert to fraction form
    3,798.82/5,690.67 = 3,020.14/x
  3. Step 3: Cross multiply
    3,798.82x = 5,690.67 × 3,020.14
  4. Step 4: Simplify right side
    3,798.82x = 17,186,620.09
  5. Step 5: Solve for x
    x = 17,186,620.09/3,798.82
  6. Step 6: Final answer
    x = 4,524.20

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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.