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Finding the Fourth Proportional to 3,825.64, 5,279.23 and 2,147.19

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Solution

The fourth proportional to 3,825.64, 5,279.23 and 2,147.19 is: 2,963.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.64 : 5,279.23 = 2,147.19 : x
  2. Step 2: Convert to fraction form
    3,825.64/5,279.23 = 2,147.19/x
  3. Step 3: Cross multiply
    3,825.64x = 5,279.23 × 2,147.19
  4. Step 4: Simplify right side
    3,825.64x = 11,335,480.67
  5. Step 5: Solve for x
    x = 11,335,480.67/3,825.64
  6. Step 6: Final answer
    x = 2,963.03

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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.