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Finding the Fourth Proportional to 6,093.96, 8,409.20 and 3,441.64

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Solution

The fourth proportional to 6,093.96, 8,409.20 and 3,441.64 is: 4,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.96 : 8,409.20 = 3,441.64 : x
  2. Step 2: Convert to fraction form
    6,093.96/8,409.20 = 3,441.64/x
  3. Step 3: Cross multiply
    6,093.96x = 8,409.20 × 3,441.64
  4. Step 4: Simplify right side
    6,093.96x = 28,941,439.09
  5. Step 5: Solve for x
    x = 28,941,439.09/6,093.96
  6. Step 6: Final answer
    x = 4,749.20

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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.