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Finding the Fourth Proportional to 5,344.68, 8,014.97 and 2,226.16

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Solution

The fourth proportional to 5,344.68, 8,014.97 and 2,226.16 is: 3,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.68 : 8,014.97 = 2,226.16 : x
  2. Step 2: Convert to fraction form
    5,344.68/8,014.97 = 2,226.16/x
  3. Step 3: Cross multiply
    5,344.68x = 8,014.97 × 2,226.16
  4. Step 4: Simplify right side
    5,344.68x = 17,842,621.20
  5. Step 5: Solve for x
    x = 17,842,621.20/5,344.68
  6. Step 6: Final answer
    x = 3,338.39

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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.