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Finding the Fourth Proportional to 5,772.94, 7,961.43 and 3,782.77

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Solution

The fourth proportional to 5,772.94, 7,961.43 and 3,782.77 is: 5,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.94 : 7,961.43 = 3,782.77 : x
  2. Step 2: Convert to fraction form
    5,772.94/7,961.43 = 3,782.77/x
  3. Step 3: Cross multiply
    5,772.94x = 7,961.43 × 3,782.77
  4. Step 4: Simplify right side
    5,772.94x = 30,116,258.56
  5. Step 5: Solve for x
    x = 30,116,258.56/5,772.94
  6. Step 6: Final answer
    x = 5,216.80

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Why These Related Problems?

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