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Finding the Fourth Proportional to 4,164.63, 6,245.11 and 2,216.37

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Solution

The fourth proportional to 4,164.63, 6,245.11 and 2,216.37 is: 3,323.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.63 : 6,245.11 = 2,216.37 : x
  2. Step 2: Convert to fraction form
    4,164.63/6,245.11 = 2,216.37/x
  3. Step 3: Cross multiply
    4,164.63x = 6,245.11 × 2,216.37
  4. Step 4: Simplify right side
    4,164.63x = 13,841,474.45
  5. Step 5: Solve for x
    x = 13,841,474.45/4,164.63
  6. Step 6: Final answer
    x = 3,323.58

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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.