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Finding the Fourth Proportional to 3,679.56, 5,519.70 and 1,214.46

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Solution

The fourth proportional to 3,679.56, 5,519.70 and 1,214.46 is: 1,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.56 : 5,519.70 = 1,214.46 : x
  2. Step 2: Convert to fraction form
    3,679.56/5,519.70 = 1,214.46/x
  3. Step 3: Cross multiply
    3,679.56x = 5,519.70 × 1,214.46
  4. Step 4: Simplify right side
    3,679.56x = 6,703,454.86
  5. Step 5: Solve for x
    x = 6,703,454.86/3,679.56
  6. Step 6: Final answer
    x = 1,821.81

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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.