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Finding the Fourth Proportional to 4,093.28, 5,646.93 and 2,766.50

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Solution

The fourth proportional to 4,093.28, 5,646.93 and 2,766.50 is: 3,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.28 : 5,646.93 = 2,766.50 : x
  2. Step 2: Convert to fraction form
    4,093.28/5,646.93 = 2,766.50/x
  3. Step 3: Cross multiply
    4,093.28x = 5,646.93 × 2,766.50
  4. Step 4: Simplify right side
    4,093.28x = 15,622,231.85
  5. Step 5: Solve for x
    x = 15,622,231.85/4,093.28
  6. Step 6: Final answer
    x = 3,816.56

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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.