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Finding the Fourth Proportional to 5,207.70, 7,815.39 and 3,824.62

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Solution

The fourth proportional to 5,207.70, 7,815.39 and 3,824.62 is: 5,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.70 : 7,815.39 = 3,824.62 : x
  2. Step 2: Convert to fraction form
    5,207.70/7,815.39 = 3,824.62/x
  3. Step 3: Cross multiply
    5,207.70x = 7,815.39 × 3,824.62
  4. Step 4: Simplify right side
    5,207.70x = 29,890,896.90
  5. Step 5: Solve for x
    x = 29,890,896.90/5,207.70
  6. Step 6: Final answer
    x = 5,739.75

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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.