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Finding the Fourth Proportional to 3,684.84, 5,086.44 and 2,511.96

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Solution

The fourth proportional to 3,684.84, 5,086.44 and 2,511.96 is: 3,467.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.84 : 5,086.44 = 2,511.96 : x
  2. Step 2: Convert to fraction form
    3,684.84/5,086.44 = 2,511.96/x
  3. Step 3: Cross multiply
    3,684.84x = 5,086.44 × 2,511.96
  4. Step 4: Simplify right side
    3,684.84x = 12,776,933.82
  5. Step 5: Solve for x
    x = 12,776,933.82/3,684.84
  6. Step 6: Final answer
    x = 3,467.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.