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Finding the Fourth Proportional to 3,677.91, 5,072.67 and 2,682.84

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Solution

The fourth proportional to 3,677.91, 5,072.67 and 2,682.84 is: 3,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.91 : 5,072.67 = 2,682.84 : x
  2. Step 2: Convert to fraction form
    3,677.91/5,072.67 = 2,682.84/x
  3. Step 3: Cross multiply
    3,677.91x = 5,072.67 × 2,682.84
  4. Step 4: Simplify right side
    3,677.91x = 13,609,161.98
  5. Step 5: Solve for x
    x = 13,609,161.98/3,677.91
  6. Step 6: Final answer
    x = 3,700.24

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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.