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Finding the Fourth Proportional to 5,198.85, 7,801.65 and 3,252.15

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Solution

The fourth proportional to 5,198.85, 7,801.65 and 3,252.15 is: 4,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.85 : 7,801.65 = 3,252.15 : x
  2. Step 2: Convert to fraction form
    5,198.85/7,801.65 = 3,252.15/x
  3. Step 3: Cross multiply
    5,198.85x = 7,801.65 × 3,252.15
  4. Step 4: Simplify right side
    5,198.85x = 25,372,136.05
  5. Step 5: Solve for x
    x = 25,372,136.05/5,198.85
  6. Step 6: Final answer
    x = 4,880.34

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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.