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Finding the Fourth Proportional to 5,906.96, 8,151.52 and 3,669.76

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Solution

The fourth proportional to 5,906.96, 8,151.52 and 3,669.76 is: 5,064.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.96 : 8,151.52 = 3,669.76 : x
  2. Step 2: Convert to fraction form
    5,906.96/8,151.52 = 3,669.76/x
  3. Step 3: Cross multiply
    5,906.96x = 8,151.52 × 3,669.76
  4. Step 4: Simplify right side
    5,906.96x = 29,914,122.04
  5. Step 5: Solve for x
    x = 29,914,122.04/5,906.96
  6. Step 6: Final answer
    x = 5,064.22

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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.