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Finding the Fourth Proportional to 3,273.90, 4,909 and 2,884.78

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Solution

The fourth proportional to 3,273.90, 4,909 and 2,884.78 is: 4,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.90 : 4,909 = 2,884.78 : x
  2. Step 2: Convert to fraction form
    3,273.90/4,909 = 2,884.78/x
  3. Step 3: Cross multiply
    3,273.90x = 4,909 × 2,884.78
  4. Step 4: Simplify right side
    3,273.90x = 14,161,385.02
  5. Step 5: Solve for x
    x = 14,161,385.02/3,273.90
  6. Step 6: Final answer
    x = 4,325.54

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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.