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Finding the Fourth Proportional to 3,816.48, 5,255.22 and 3,071.64

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Solution

The fourth proportional to 3,816.48, 5,255.22 and 3,071.64 is: 4,229.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.48 : 5,255.22 = 3,071.64 : x
  2. Step 2: Convert to fraction form
    3,816.48/5,255.22 = 3,071.64/x
  3. Step 3: Cross multiply
    3,816.48x = 5,255.22 × 3,071.64
  4. Step 4: Simplify right side
    3,816.48x = 16,142,143.96
  5. Step 5: Solve for x
    x = 16,142,143.96/3,816.48
  6. Step 6: Final answer
    x = 4,229.59

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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.