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Finding the Fourth Proportional to 3,873.27, 5,349.47 and 2,999.64

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Solution

The fourth proportional to 3,873.27, 5,349.47 and 2,999.64 is: 4,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.27 : 5,349.47 = 2,999.64 : x
  2. Step 2: Convert to fraction form
    3,873.27/5,349.47 = 2,999.64/x
  3. Step 3: Cross multiply
    3,873.27x = 5,349.47 × 2,999.64
  4. Step 4: Simplify right side
    3,873.27x = 16,046,469.19
  5. Step 5: Solve for x
    x = 16,046,469.19/3,873.27
  6. Step 6: Final answer
    x = 4,142.87

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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.