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Finding the Fourth Proportional to 3,906.67, 5,858.49 and 1,407.18

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Solution

The fourth proportional to 3,906.67, 5,858.49 and 1,407.18 is: 2,110.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.67 : 5,858.49 = 1,407.18 : x
  2. Step 2: Convert to fraction form
    3,906.67/5,858.49 = 1,407.18/x
  3. Step 3: Cross multiply
    3,906.67x = 5,858.49 × 1,407.18
  4. Step 4: Simplify right side
    3,906.67x = 8,243,942.92
  5. Step 5: Solve for x
    x = 8,243,942.92/3,906.67
  6. Step 6: Final answer
    x = 2,110.22

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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.