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Finding the Fourth Proportional to 5,219.85, 7,824.30 and 3,245.47

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Solution

The fourth proportional to 5,219.85, 7,824.30 and 3,245.47 is: 4,864.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.85 : 7,824.30 = 3,245.47 : x
  2. Step 2: Convert to fraction form
    5,219.85/7,824.30 = 3,245.47/x
  3. Step 3: Cross multiply
    5,219.85x = 7,824.30 × 3,245.47
  4. Step 4: Simplify right side
    5,219.85x = 25,393,530.92
  5. Step 5: Solve for x
    x = 25,393,530.92/5,219.85
  6. Step 6: Final answer
    x = 4,864.80

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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.