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Finding the Fourth Proportional to 3,773.30, 5,659.25 and 1,581.44

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Solution

The fourth proportional to 3,773.30, 5,659.25 and 1,581.44 is: 2,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.30 : 5,659.25 = 1,581.44 : x
  2. Step 2: Convert to fraction form
    3,773.30/5,659.25 = 1,581.44/x
  3. Step 3: Cross multiply
    3,773.30x = 5,659.25 × 1,581.44
  4. Step 4: Simplify right side
    3,773.30x = 8,949,728.12
  5. Step 5: Solve for x
    x = 8,949,728.12/3,773.30
  6. Step 6: Final answer
    x = 2,371.86

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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.