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Finding the Fourth Proportional to 5,416.80, 8,125.20 and 5,295.30

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Solution

The fourth proportional to 5,416.80, 8,125.20 and 5,295.30 is: 7,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.80 : 8,125.20 = 5,295.30 : x
  2. Step 2: Convert to fraction form
    5,416.80/8,125.20 = 5,295.30/x
  3. Step 3: Cross multiply
    5,416.80x = 8,125.20 × 5,295.30
  4. Step 4: Simplify right side
    5,416.80x = 43,025,371.56
  5. Step 5: Solve for x
    x = 43,025,371.56/5,416.80
  6. Step 6: Final answer
    x = 7,942.95

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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.