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Finding the Fourth Proportional to 4,757.65, 6,566.24 and 2,769.30

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Solution

The fourth proportional to 4,757.65, 6,566.24 and 2,769.30 is: 3,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.65 : 6,566.24 = 2,769.30 : x
  2. Step 2: Convert to fraction form
    4,757.65/6,566.24 = 2,769.30/x
  3. Step 3: Cross multiply
    4,757.65x = 6,566.24 × 2,769.30
  4. Step 4: Simplify right side
    4,757.65x = 18,183,888.43
  5. Step 5: Solve for x
    x = 18,183,888.43/4,757.65
  6. Step 6: Final answer
    x = 3,822.03

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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.