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Finding the Fourth Proportional to 3,677.69, 5,069.86 and 2,791.96

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Solution

The fourth proportional to 3,677.69, 5,069.86 and 2,791.96 is: 3,848.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.69 : 5,069.86 = 2,791.96 : x
  2. Step 2: Convert to fraction form
    3,677.69/5,069.86 = 2,791.96/x
  3. Step 3: Cross multiply
    3,677.69x = 5,069.86 × 2,791.96
  4. Step 4: Simplify right side
    3,677.69x = 14,154,826.67
  5. Step 5: Solve for x
    x = 14,154,826.67/3,677.69
  6. Step 6: Final answer
    x = 3,848.83

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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.