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Finding the Fourth Proportional to 3,824.96, 5,276.86 and 2,549.42

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Solution

The fourth proportional to 3,824.96, 5,276.86 and 2,549.42 is: 3,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.96 : 5,276.86 = 2,549.42 : x
  2. Step 2: Convert to fraction form
    3,824.96/5,276.86 = 2,549.42/x
  3. Step 3: Cross multiply
    3,824.96x = 5,276.86 × 2,549.42
  4. Step 4: Simplify right side
    3,824.96x = 13,452,932.42
  5. Step 5: Solve for x
    x = 13,452,932.42/3,824.96
  6. Step 6: Final answer
    x = 3,517.14

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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.