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Finding the Fourth Proportional to 5,772.72, 7,961.04 and 3,782.55

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Solution

The fourth proportional to 5,772.72, 7,961.04 and 3,782.55 is: 5,216.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.72 : 7,961.04 = 3,782.55 : x
  2. Step 2: Convert to fraction form
    5,772.72/7,961.04 = 3,782.55/x
  3. Step 3: Cross multiply
    5,772.72x = 7,961.04 × 3,782.55
  4. Step 4: Simplify right side
    5,772.72x = 30,113,031.85
  5. Step 5: Solve for x
    x = 30,113,031.85/5,772.72
  6. Step 6: Final answer
    x = 5,216.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.