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Finding the Fourth Proportional to 3,678.14, 5,504.90 and 3,020.00

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Solution

The fourth proportional to 3,678.14, 5,504.90 and 3,020.00 is: 4,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678.14 : 5,504.90 = 3,020.00 : x
  2. Step 2: Convert to fraction form
    3,678.14/5,504.90 = 3,020.00/x
  3. Step 3: Cross multiply
    3,678.14x = 5,504.90 × 3,020.00
  4. Step 4: Simplify right side
    3,678.14x = 16,624,755.38
  5. Step 5: Solve for x
    x = 16,624,755.38/3,678.14
  6. Step 6: Final answer
    x = 4,519.88

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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.