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Finding the Fourth Proportional to 3,825.42, 5,279.34 and 2,254.42

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Solution

The fourth proportional to 3,825.42, 5,279.34 and 2,254.42 is: 3,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.42 : 5,279.34 = 2,254.42 : x
  2. Step 2: Convert to fraction form
    3,825.42/5,279.34 = 2,254.42/x
  3. Step 3: Cross multiply
    3,825.42x = 5,279.34 × 2,254.42
  4. Step 4: Simplify right side
    3,825.42x = 11,901,849.68
  5. Step 5: Solve for x
    x = 11,901,849.68/3,825.42
  6. Step 6: Final answer
    x = 3,111.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.