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Finding the Fourth Proportional to 3,405.92, 5,107.79 and 1,096.88

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Solution

The fourth proportional to 3,405.92, 5,107.79 and 1,096.88 is: 1,644.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.92 : 5,107.79 = 1,096.88 : x
  2. Step 2: Convert to fraction form
    3,405.92/5,107.79 = 1,096.88/x
  3. Step 3: Cross multiply
    3,405.92x = 5,107.79 × 1,096.88
  4. Step 4: Simplify right side
    3,405.92x = 5,602,609.90
  5. Step 5: Solve for x
    x = 5,602,609.90/3,405.92
  6. Step 6: Final answer
    x = 1,644.96

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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.