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Finding the Fourth Proportional to 3,405.25, 5,107.92 and 1,096.75

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Solution

The fourth proportional to 3,405.25, 5,107.92 and 1,096.75 is: 1,645.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.25 : 5,107.92 = 1,096.75 : x
  2. Step 2: Convert to fraction form
    3,405.25/5,107.92 = 1,096.75/x
  3. Step 3: Cross multiply
    3,405.25x = 5,107.92 × 1,096.75
  4. Step 4: Simplify right side
    3,405.25x = 5,602,111.26
  5. Step 5: Solve for x
    x = 5,602,111.26/3,405.25
  6. Step 6: Final answer
    x = 1,645.14

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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.