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Finding the Fourth Proportional to 3,679.82, 5,519.18 and 1,214.72

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Solution

The fourth proportional to 3,679.82, 5,519.18 and 1,214.72 is: 1,821.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.82 : 5,519.18 = 1,214.72 : x
  2. Step 2: Convert to fraction form
    3,679.82/5,519.18 = 1,214.72/x
  3. Step 3: Cross multiply
    3,679.82x = 5,519.18 × 1,214.72
  4. Step 4: Simplify right side
    3,679.82x = 6,704,233.77
  5. Step 5: Solve for x
    x = 6,704,233.77/3,679.82
  6. Step 6: Final answer
    x = 1,821.89

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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.