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Finding the Fourth Proportional to 3,679.69, 5,519.80 and 1,082.74

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Solution

The fourth proportional to 3,679.69, 5,519.80 and 1,082.74 is: 1,624.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.69 : 5,519.80 = 1,082.74 : x
  2. Step 2: Convert to fraction form
    3,679.69/5,519.80 = 1,082.74/x
  3. Step 3: Cross multiply
    3,679.69x = 5,519.80 × 1,082.74
  4. Step 4: Simplify right side
    3,679.69x = 5,976,480.65
  5. Step 5: Solve for x
    x = 5,976,480.65/3,679.69
  6. Step 6: Final answer
    x = 1,624.18

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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.