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Finding the Fourth Proportional to 4,806.28, 7,161.64 and 4,282.25

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Solution

The fourth proportional to 4,806.28, 7,161.64 and 4,282.25 is: 6,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.28 : 7,161.64 = 4,282.25 : x
  2. Step 2: Convert to fraction form
    4,806.28/7,161.64 = 4,282.25/x
  3. Step 3: Cross multiply
    4,806.28x = 7,161.64 × 4,282.25
  4. Step 4: Simplify right side
    4,806.28x = 30,667,932.89
  5. Step 5: Solve for x
    x = 30,667,932.89/4,806.28
  6. Step 6: Final answer
    x = 6,380.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.