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Finding the Fourth Proportional to 3,405.44, 5,109.12 and 1,097.12

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Solution

The fourth proportional to 3,405.44, 5,109.12 and 1,097.12 is: 1,645.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.44 : 5,109.12 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    3,405.44/5,109.12 = 1,097.12/x
  3. Step 3: Cross multiply
    3,405.44x = 5,109.12 × 1,097.12
  4. Step 4: Simplify right side
    3,405.44x = 5,605,317.73
  5. Step 5: Solve for x
    x = 5,605,317.73/3,405.44
  6. Step 6: Final answer
    x = 1,645.99

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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.