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Finding the Fourth Proportional to 5,216.49, 7,824.87 and 1,321.20

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Solution

The fourth proportional to 5,216.49, 7,824.87 and 1,321.20 is: 1,981.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.49 : 7,824.87 = 1,321.20 : x
  2. Step 2: Convert to fraction form
    5,216.49/7,824.87 = 1,321.20/x
  3. Step 3: Cross multiply
    5,216.49x = 7,824.87 × 1,321.20
  4. Step 4: Simplify right side
    5,216.49x = 10,338,218.24
  5. Step 5: Solve for x
    x = 10,338,218.24/5,216.49
  6. Step 6: Final answer
    x = 1,981.83

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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.