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Finding the Fourth Proportional to 4,824.18, 7,235.73 and 3,274.14

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Solution

The fourth proportional to 4,824.18, 7,235.73 and 3,274.14 is: 4,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.18 : 7,235.73 = 3,274.14 : x
  2. Step 2: Convert to fraction form
    4,824.18/7,235.73 = 3,274.14/x
  3. Step 3: Cross multiply
    4,824.18x = 7,235.73 × 3,274.14
  4. Step 4: Simplify right side
    4,824.18x = 23,690,793.02
  5. Step 5: Solve for x
    x = 23,690,793.02/4,824.18
  6. Step 6: Final answer
    x = 4,910.84

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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.