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Finding the Fourth Proportional to 5,198.96, 7,798.44 and 2,080.64

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Solution

The fourth proportional to 5,198.96, 7,798.44 and 2,080.64 is: 3,120.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.96 : 7,798.44 = 2,080.64 : x
  2. Step 2: Convert to fraction form
    5,198.96/7,798.44 = 2,080.64/x
  3. Step 3: Cross multiply
    5,198.96x = 7,798.44 × 2,080.64
  4. Step 4: Simplify right side
    5,198.96x = 16,225,746.20
  5. Step 5: Solve for x
    x = 16,225,746.20/5,198.96
  6. Step 6: Final answer
    x = 3,120.96

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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.