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Finding the Fourth Proportional to 5,198.82, 7,798.22 and 1,303.23

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Solution

The fourth proportional to 5,198.82, 7,798.22 and 1,303.23 is: 1,954.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.82 : 7,798.22 = 1,303.23 : x
  2. Step 2: Convert to fraction form
    5,198.82/7,798.22 = 1,303.23/x
  3. Step 3: Cross multiply
    5,198.82x = 7,798.22 × 1,303.23
  4. Step 4: Simplify right side
    5,198.82x = 10,162,874.25
  5. Step 5: Solve for x
    x = 10,162,874.25/5,198.82
  6. Step 6: Final answer
    x = 1,954.84

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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.