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Finding the Fourth Proportional to 3,791.67, 5,688.72 and 2,406.17

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Solution

The fourth proportional to 3,791.67, 5,688.72 and 2,406.17 is: 3,610.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.67 : 5,688.72 = 2,406.17 : x
  2. Step 2: Convert to fraction form
    3,791.67/5,688.72 = 2,406.17/x
  3. Step 3: Cross multiply
    3,791.67x = 5,688.72 × 2,406.17
  4. Step 4: Simplify right side
    3,791.67x = 13,687,998.96
  5. Step 5: Solve for x
    x = 13,687,998.96/3,791.67
  6. Step 6: Final answer
    x = 3,610.02

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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.