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Finding the Fourth Proportional to 5,519.58, 8,277.62 and 1,821

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Solution

The fourth proportional to 5,519.58, 8,277.62 and 1,821 is: 2,730.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,519.58 : 8,277.62 = 1,821 : x
  2. Step 2: Convert to fraction form
    5,519.58/8,277.62 = 1,821/x
  3. Step 3: Cross multiply
    5,519.58x = 8,277.62 × 1,821
  4. Step 4: Simplify right side
    5,519.58x = 15,073,546.02
  5. Step 5: Solve for x
    x = 15,073,546.02/5,519.58
  6. Step 6: Final answer
    x = 2,730.92

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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.