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Finding the Fourth Proportional to 5,245.80, 7,851.64 and 3,858.80

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Solution

The fourth proportional to 5,245.80, 7,851.64 and 3,858.80 is: 5,775.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.80 : 7,851.64 = 3,858.80 : x
  2. Step 2: Convert to fraction form
    5,245.80/7,851.64 = 3,858.80/x
  3. Step 3: Cross multiply
    5,245.80x = 7,851.64 × 3,858.80
  4. Step 4: Simplify right side
    5,245.80x = 30,297,908.43
  5. Step 5: Solve for x
    x = 30,297,908.43/5,245.80
  6. Step 6: Final answer
    x = 5,775.65

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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.