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Finding the Fourth Proportional to 5,198.40, 7,782.48 and 3,244.68

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Solution

The fourth proportional to 5,198.40, 7,782.48 and 3,244.68 is: 4,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.40 : 7,782.48 = 3,244.68 : x
  2. Step 2: Convert to fraction form
    5,198.40/7,782.48 = 3,244.68/x
  3. Step 3: Cross multiply
    5,198.40x = 7,782.48 × 3,244.68
  4. Step 4: Simplify right side
    5,198.40x = 25,251,657.21
  5. Step 5: Solve for x
    x = 25,251,657.21/5,198.40
  6. Step 6: Final answer
    x = 4,857.58

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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.