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Finding the Fourth Proportional to 5,769.65, 8,653.26 and 2,072.09

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Solution

The fourth proportional to 5,769.65, 8,653.26 and 2,072.09 is: 3,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.65 : 8,653.26 = 2,072.09 : x
  2. Step 2: Convert to fraction form
    5,769.65/8,653.26 = 2,072.09/x
  3. Step 3: Cross multiply
    5,769.65x = 8,653.26 × 2,072.09
  4. Step 4: Simplify right side
    5,769.65x = 17,930,333.51
  5. Step 5: Solve for x
    x = 17,930,333.51/5,769.65
  6. Step 6: Final answer
    x = 3,107.70

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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.