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Finding the Fourth Proportional to 6,134.40, 8,464.80 and 3,481.60

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Solution

The fourth proportional to 6,134.40, 8,464.80 and 3,481.60 is: 4,804.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.40 : 8,464.80 = 3,481.60 : x
  2. Step 2: Convert to fraction form
    6,134.40/8,464.80 = 3,481.60/x
  3. Step 3: Cross multiply
    6,134.40x = 8,464.80 × 3,481.60
  4. Step 4: Simplify right side
    6,134.40x = 29,471,047.68
  5. Step 5: Solve for x
    x = 29,471,047.68/6,134.40
  6. Step 6: Final answer
    x = 4,804.23

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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.