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Finding the Fourth Proportional to 3,855.44, 5,782.29 and 1,773.44

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Solution

The fourth proportional to 3,855.44, 5,782.29 and 1,773.44 is: 2,659.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.44 : 5,782.29 = 1,773.44 : x
  2. Step 2: Convert to fraction form
    3,855.44/5,782.29 = 1,773.44/x
  3. Step 3: Cross multiply
    3,855.44x = 5,782.29 × 1,773.44
  4. Step 4: Simplify right side
    3,855.44x = 10,254,530.50
  5. Step 5: Solve for x
    x = 10,254,530.50/3,855.44
  6. Step 6: Final answer
    x = 2,659.76

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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.