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Finding the Fourth Proportional to 3,679.16, 5,519.41 and 1,214.15

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Solution

The fourth proportional to 3,679.16, 5,519.41 and 1,214.15 is: 1,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.16 : 5,519.41 = 1,214.15 : x
  2. Step 2: Convert to fraction form
    3,679.16/5,519.41 = 1,214.15/x
  3. Step 3: Cross multiply
    3,679.16x = 5,519.41 × 1,214.15
  4. Step 4: Simplify right side
    3,679.16x = 6,701,361.02
  5. Step 5: Solve for x
    x = 6,701,361.02/3,679.16
  6. Step 6: Final answer
    x = 1,821.44

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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.