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Finding the Fourth Proportional to 5,273.60, 7,900.80 and 3,219.20

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Solution

The fourth proportional to 5,273.60, 7,900.80 and 3,219.20 is: 4,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.60 : 7,900.80 = 3,219.20 : x
  2. Step 2: Convert to fraction form
    5,273.60/7,900.80 = 3,219.20/x
  3. Step 3: Cross multiply
    5,273.60x = 7,900.80 × 3,219.20
  4. Step 4: Simplify right side
    5,273.60x = 25,434,255.36
  5. Step 5: Solve for x
    x = 25,434,255.36/5,273.60
  6. Step 6: Final answer
    x = 4,822.94

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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.