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Finding the Fourth Proportional to 5,767.44, 7,953.84 and 3,777.27

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Solution

The fourth proportional to 5,767.44, 7,953.84 and 3,777.27 is: 5,209.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.44 : 7,953.84 = 3,777.27 : x
  2. Step 2: Convert to fraction form
    5,767.44/7,953.84 = 3,777.27/x
  3. Step 3: Cross multiply
    5,767.44x = 7,953.84 × 3,777.27
  4. Step 4: Simplify right side
    5,767.44x = 30,043,801.22
  5. Step 5: Solve for x
    x = 30,043,801.22/5,767.44
  6. Step 6: Final answer
    x = 5,209.21

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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.