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Finding the Fourth Proportional to 3,885.44, 5,828.49 and 1,112.33

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Solution

The fourth proportional to 3,885.44, 5,828.49 and 1,112.33 is: 1,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,828.49 = 1,112.33 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,828.49 = 1,112.33/x
  3. Step 3: Cross multiply
    3,885.44x = 5,828.49 × 1,112.33
  4. Step 4: Simplify right side
    3,885.44x = 6,483,218.85
  5. Step 5: Solve for x
    x = 6,483,218.85/3,885.44
  6. Step 6: Final answer
    x = 1,668.60

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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.