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Finding the Fourth Proportional to 5,327.56, 7,991.40 and 2,556.40

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Solution

The fourth proportional to 5,327.56, 7,991.40 and 2,556.40 is: 3,834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,327.56 : 7,991.40 = 2,556.40 : x
  2. Step 2: Convert to fraction form
    5,327.56/7,991.40 = 2,556.40/x
  3. Step 3: Cross multiply
    5,327.56x = 7,991.40 × 2,556.40
  4. Step 4: Simplify right side
    5,327.56x = 20,429,214.96
  5. Step 5: Solve for x
    x = 20,429,214.96/5,327.56
  6. Step 6: Final answer
    x = 3,834.63

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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.