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Finding the Fourth Proportional to 5,938.53, 8,195.22 and 3,285.99

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Solution

The fourth proportional to 5,938.53, 8,195.22 and 3,285.99 is: 4,534.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938.53 : 8,195.22 = 3,285.99 : x
  2. Step 2: Convert to fraction form
    5,938.53/8,195.22 = 3,285.99/x
  3. Step 3: Cross multiply
    5,938.53x = 8,195.22 × 3,285.99
  4. Step 4: Simplify right side
    5,938.53x = 26,929,410.97
  5. Step 5: Solve for x
    x = 26,929,410.97/5,938.53
  6. Step 6: Final answer
    x = 4,534.69

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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.