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Finding the Fourth Proportional to 3,825.63, 5,278.41 and 2,253.42

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Solution

The fourth proportional to 3,825.63, 5,278.41 and 2,253.42 is: 3,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.63 : 5,278.41 = 2,253.42 : x
  2. Step 2: Convert to fraction form
    3,825.63/5,278.41 = 2,253.42/x
  3. Step 3: Cross multiply
    3,825.63x = 5,278.41 × 2,253.42
  4. Step 4: Simplify right side
    3,825.63x = 11,894,474.66
  5. Step 5: Solve for x
    x = 11,894,474.66/3,825.63
  6. Step 6: Final answer
    x = 3,109.15

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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.