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Finding the Fourth Proportional to 3,824.42, 5,277.96 and 2,253.42

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Solution

The fourth proportional to 3,824.42, 5,277.96 and 2,253.42 is: 3,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.42 : 5,277.96 = 2,253.42 : x
  2. Step 2: Convert to fraction form
    3,824.42/5,277.96 = 2,253.42/x
  3. Step 3: Cross multiply
    3,824.42x = 5,277.96 × 2,253.42
  4. Step 4: Simplify right side
    3,824.42x = 11,893,460.62
  5. Step 5: Solve for x
    x = 11,893,460.62/3,824.42
  6. Step 6: Final answer
    x = 3,109.88

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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.