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Finding the Fourth Proportional to 4,857.52, 7,273.92 and 3,211.60

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Solution

The fourth proportional to 4,857.52, 7,273.92 and 3,211.60 is: 4,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.52 : 7,273.92 = 3,211.60 : x
  2. Step 2: Convert to fraction form
    4,857.52/7,273.92 = 3,211.60/x
  3. Step 3: Cross multiply
    4,857.52x = 7,273.92 × 3,211.60
  4. Step 4: Simplify right side
    4,857.52x = 23,360,921.47
  5. Step 5: Solve for x
    x = 23,360,921.47/4,857.52
  6. Step 6: Final answer
    x = 4,809.23

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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.