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Finding the Fourth Proportional to 5,922.50, 8,171.01 and 3,797.86

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Solution

The fourth proportional to 5,922.50, 8,171.01 and 3,797.86 is: 5,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.50 : 8,171.01 = 3,797.86 : x
  2. Step 2: Convert to fraction form
    5,922.50/8,171.01 = 3,797.86/x
  3. Step 3: Cross multiply
    5,922.50x = 8,171.01 × 3,797.86
  4. Step 4: Simplify right side
    5,922.50x = 31,032,361.90
  5. Step 5: Solve for x
    x = 31,032,361.90/5,922.50
  6. Step 6: Final answer
    x = 5,239.74

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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.