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Finding the Fourth Proportional to 3,679.94, 5,519.78 and 1,214.70

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Solution

The fourth proportional to 3,679.94, 5,519.78 and 1,214.70 is: 1,822.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.94 : 5,519.78 = 1,214.70 : x
  2. Step 2: Convert to fraction form
    3,679.94/5,519.78 = 1,214.70/x
  3. Step 3: Cross multiply
    3,679.94x = 5,519.78 × 1,214.70
  4. Step 4: Simplify right side
    3,679.94x = 6,704,876.77
  5. Step 5: Solve for x
    x = 6,704,876.77/3,679.94
  6. Step 6: Final answer
    x = 1,822.01

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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.