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Finding the Fourth Proportional to 3,679.40, 5,519.28 and 1,214.21

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Solution

The fourth proportional to 3,679.40, 5,519.28 and 1,214.21 is: 1,821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.40 : 5,519.28 = 1,214.21 : x
  2. Step 2: Convert to fraction form
    3,679.40/5,519.28 = 1,214.21/x
  3. Step 3: Cross multiply
    3,679.40x = 5,519.28 × 1,214.21
  4. Step 4: Simplify right side
    3,679.40x = 6,701,564.97
  5. Step 5: Solve for x
    x = 6,701,564.97/3,679.40
  6. Step 6: Final answer
    x = 1,821.37

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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.