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Finding the Fourth Proportional to 4,801.24, 7,202.04 and 2,849.14

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Solution

The fourth proportional to 4,801.24, 7,202.04 and 2,849.14 is: 4,273.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.24 : 7,202.04 = 2,849.14 : x
  2. Step 2: Convert to fraction form
    4,801.24/7,202.04 = 2,849.14/x
  3. Step 3: Cross multiply
    4,801.24x = 7,202.04 × 2,849.14
  4. Step 4: Simplify right side
    4,801.24x = 20,519,620.25
  5. Step 5: Solve for x
    x = 20,519,620.25/4,801.24
  6. Step 6: Final answer
    x = 4,273.82

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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.