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Finding the Fourth Proportional to 3,679.33, 5,519.16 and 1,214.36

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Solution

The fourth proportional to 3,679.33, 5,519.16 and 1,214.36 is: 1,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.33 : 5,519.16 = 1,214.36 : x
  2. Step 2: Convert to fraction form
    3,679.33/5,519.16 = 1,214.36/x
  3. Step 3: Cross multiply
    3,679.33x = 5,519.16 × 1,214.36
  4. Step 4: Simplify right side
    3,679.33x = 6,702,247.14
  5. Step 5: Solve for x
    x = 6,702,247.14/3,679.33
  6. Step 6: Final answer
    x = 1,821.59

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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.