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Finding the Fourth Proportional to 3,885.24, 5,824.78 and 2,036

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Solution

The fourth proportional to 3,885.24, 5,824.78 and 2,036 is: 3,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.24 : 5,824.78 = 2,036 : x
  2. Step 2: Convert to fraction form
    3,885.24/5,824.78 = 2,036/x
  3. Step 3: Cross multiply
    3,885.24x = 5,824.78 × 2,036
  4. Step 4: Simplify right side
    3,885.24x = 11,859,252.08
  5. Step 5: Solve for x
    x = 11,859,252.08/3,885.24
  6. Step 6: Final answer
    x = 3,052.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.