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Finding the Fourth Proportional to 3,811.33, 5,248.67 and 3,142.03

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Solution

The fourth proportional to 3,811.33, 5,248.67 and 3,142.03 is: 4,326.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.33 : 5,248.67 = 3,142.03 : x
  2. Step 2: Convert to fraction form
    3,811.33/5,248.67 = 3,142.03/x
  3. Step 3: Cross multiply
    3,811.33x = 5,248.67 × 3,142.03
  4. Step 4: Simplify right side
    3,811.33x = 16,491,478.60
  5. Step 5: Solve for x
    x = 16,491,478.60/3,811.33
  6. Step 6: Final answer
    x = 4,326.96

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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.