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Finding the Fourth Proportional to 3,422.09, 5,133.14 and 825.03

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Solution

The fourth proportional to 3,422.09, 5,133.14 and 825.03 is: 1,237.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.09 : 5,133.14 = 825.03 : x
  2. Step 2: Convert to fraction form
    3,422.09/5,133.14 = 825.03/x
  3. Step 3: Cross multiply
    3,422.09x = 5,133.14 × 825.03
  4. Step 4: Simplify right side
    3,422.09x = 4,234,990.37
  5. Step 5: Solve for x
    x = 4,234,990.37/3,422.09
  6. Step 6: Final answer
    x = 1,237.55

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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.