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Finding the Fourth Proportional to 3,997.42, 5,517.96 and 3,005.58

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Solution

The fourth proportional to 3,997.42, 5,517.96 and 3,005.58 is: 4,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.42 : 5,517.96 = 3,005.58 : x
  2. Step 2: Convert to fraction form
    3,997.42/5,517.96 = 3,005.58/x
  3. Step 3: Cross multiply
    3,997.42x = 5,517.96 × 3,005.58
  4. Step 4: Simplify right side
    3,997.42x = 16,584,670.22
  5. Step 5: Solve for x
    x = 16,584,670.22/3,997.42
  6. Step 6: Final answer
    x = 4,148.84

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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.