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Finding the Fourth Proportional to 4,121.76, 6,164.24 and 3,662.48

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Solution

The fourth proportional to 4,121.76, 6,164.24 and 3,662.48 is: 5,477.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.76 : 6,164.24 = 3,662.48 : x
  2. Step 2: Convert to fraction form
    4,121.76/6,164.24 = 3,662.48/x
  3. Step 3: Cross multiply
    4,121.76x = 6,164.24 × 3,662.48
  4. Step 4: Simplify right side
    4,121.76x = 22,576,405.72
  5. Step 5: Solve for x
    x = 22,576,405.72/4,121.76
  6. Step 6: Final answer
    x = 5,477.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.