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Finding the Fourth Proportional to 5,200.30, 7,791.90 and 3,005.20

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Solution

The fourth proportional to 5,200.30, 7,791.90 and 3,005.20 is: 4,502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.30 : 7,791.90 = 3,005.20 : x
  2. Step 2: Convert to fraction form
    5,200.30/7,791.90 = 3,005.20/x
  3. Step 3: Cross multiply
    5,200.30x = 7,791.90 × 3,005.20
  4. Step 4: Simplify right side
    5,200.30x = 23,416,217.88
  5. Step 5: Solve for x
    x = 23,416,217.88/5,200.30
  6. Step 6: Final answer
    x = 4,502.86

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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.