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Finding the Fourth Proportional to 3,187.92, 4,777.23 and 2,265.27

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Solution

The fourth proportional to 3,187.92, 4,777.23 and 2,265.27 is: 3,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.92 : 4,777.23 = 2,265.27 : x
  2. Step 2: Convert to fraction form
    3,187.92/4,777.23 = 2,265.27/x
  3. Step 3: Cross multiply
    3,187.92x = 4,777.23 × 2,265.27
  4. Step 4: Simplify right side
    3,187.92x = 10,821,715.80
  5. Step 5: Solve for x
    x = 10,821,715.80/3,187.92
  6. Step 6: Final answer
    x = 3,394.60

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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.