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Finding the Fourth Proportional to 3,679.46, 5,519.97 and 1,214.19

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Solution

The fourth proportional to 3,679.46, 5,519.97 and 1,214.19 is: 1,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.46 : 5,519.97 = 1,214.19 : x
  2. Step 2: Convert to fraction form
    3,679.46/5,519.97 = 1,214.19/x
  3. Step 3: Cross multiply
    3,679.46x = 5,519.97 × 1,214.19
  4. Step 4: Simplify right side
    3,679.46x = 6,702,292.37
  5. Step 5: Solve for x
    x = 6,702,292.37/3,679.46
  6. Step 6: Final answer
    x = 1,821.54

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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.