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Finding the Fourth Proportional to 3,382.65, 5,074.88 and 3,057.33

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Solution

The fourth proportional to 3,382.65, 5,074.88 and 3,057.33 is: 4,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382.65 : 5,074.88 = 3,057.33 : x
  2. Step 2: Convert to fraction form
    3,382.65/5,074.88 = 3,057.33/x
  3. Step 3: Cross multiply
    3,382.65x = 5,074.88 × 3,057.33
  4. Step 4: Simplify right side
    3,382.65x = 15,515,582.87
  5. Step 5: Solve for x
    x = 15,515,582.87/3,382.65
  6. Step 6: Final answer
    x = 4,586.81

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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.