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Finding the Fourth Proportional to 6,652.75, 9,180.75 and 3,668.65

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Solution

The fourth proportional to 6,652.75, 9,180.75 and 3,668.65 is: 5,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.75 : 9,180.75 = 3,668.65 : x
  2. Step 2: Convert to fraction form
    6,652.75/9,180.75 = 3,668.65/x
  3. Step 3: Cross multiply
    6,652.75x = 9,180.75 × 3,668.65
  4. Step 4: Simplify right side
    6,652.75x = 33,680,958.49
  5. Step 5: Solve for x
    x = 33,680,958.49/6,652.75
  6. Step 6: Final answer
    x = 5,062.71

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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.