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Finding the Fourth Proportional to 5,464.32, 8,198.22 and 2,303.43

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Solution

The fourth proportional to 5,464.32, 8,198.22 and 2,303.43 is: 3,455.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.32 : 8,198.22 = 2,303.43 : x
  2. Step 2: Convert to fraction form
    5,464.32/8,198.22 = 2,303.43/x
  3. Step 3: Cross multiply
    5,464.32x = 8,198.22 × 2,303.43
  4. Step 4: Simplify right side
    5,464.32x = 18,884,025.89
  5. Step 5: Solve for x
    x = 18,884,025.89/5,464.32
  6. Step 6: Final answer
    x = 3,455.88

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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.