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Finding the Fourth Proportional to 4,806.40, 7,209.60 and 3,500.80

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Solution

The fourth proportional to 4,806.40, 7,209.60 and 3,500.80 is: 5,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.40 : 7,209.60 = 3,500.80 : x
  2. Step 2: Convert to fraction form
    4,806.40/7,209.60 = 3,500.80/x
  3. Step 3: Cross multiply
    4,806.40x = 7,209.60 × 3,500.80
  4. Step 4: Simplify right side
    4,806.40x = 25,239,367.68
  5. Step 5: Solve for x
    x = 25,239,367.68/4,806.40
  6. Step 6: Final answer
    x = 5,251.20

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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.