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Finding the Fourth Proportional to 3,497.13, 5,245.14 and 2,273.22

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Solution

The fourth proportional to 3,497.13, 5,245.14 and 2,273.22 is: 3,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.13 : 5,245.14 = 2,273.22 : x
  2. Step 2: Convert to fraction form
    3,497.13/5,245.14 = 2,273.22/x
  3. Step 3: Cross multiply
    3,497.13x = 5,245.14 × 2,273.22
  4. Step 4: Simplify right side
    3,497.13x = 11,923,357.15
  5. Step 5: Solve for x
    x = 11,923,357.15/3,497.13
  6. Step 6: Final answer
    x = 3,409.47

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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.