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Finding the Fourth Proportional to 4,171.46, 5,764.80 and 3,728.60

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Solution

The fourth proportional to 4,171.46, 5,764.80 and 3,728.60 is: 5,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,171.46 : 5,764.80 = 3,728.60 : x
  2. Step 2: Convert to fraction form
    4,171.46/5,764.80 = 3,728.60/x
  3. Step 3: Cross multiply
    4,171.46x = 5,764.80 × 3,728.60
  4. Step 4: Simplify right side
    4,171.46x = 21,494,633.28
  5. Step 5: Solve for x
    x = 21,494,633.28/4,171.46
  6. Step 6: Final answer
    x = 5,152.78

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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.