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Finding the Fourth Proportional to 3,679.94, 5,511.12 and 2,011.57

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Solution

The fourth proportional to 3,679.94, 5,511.12 and 2,011.57 is: 3,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.94 : 5,511.12 = 2,011.57 : x
  2. Step 2: Convert to fraction form
    3,679.94/5,511.12 = 2,011.57/x
  3. Step 3: Cross multiply
    3,679.94x = 5,511.12 × 2,011.57
  4. Step 4: Simplify right side
    3,679.94x = 11,086,003.66
  5. Step 5: Solve for x
    x = 11,086,003.66/3,679.94
  6. Step 6: Final answer
    x = 3,012.55

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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.