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Finding the Fourth Proportional to 5,471.60, 8,202.48 and 1,961

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Solution

The fourth proportional to 5,471.60, 8,202.48 and 1,961 is: 2,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.60 : 8,202.48 = 1,961 : x
  2. Step 2: Convert to fraction form
    5,471.60/8,202.48 = 1,961/x
  3. Step 3: Cross multiply
    5,471.60x = 8,202.48 × 1,961
  4. Step 4: Simplify right side
    5,471.60x = 16,085,063.28
  5. Step 5: Solve for x
    x = 16,085,063.28/5,471.60
  6. Step 6: Final answer
    x = 2,939.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.