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Finding the Fourth Proportional to 5,997.64, 8,277.80 and 3,761.44

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Solution

The fourth proportional to 5,997.64, 8,277.80 and 3,761.44 is: 5,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.64 : 8,277.80 = 3,761.44 : x
  2. Step 2: Convert to fraction form
    5,997.64/8,277.80 = 3,761.44/x
  3. Step 3: Cross multiply
    5,997.64x = 8,277.80 × 3,761.44
  4. Step 4: Simplify right side
    5,997.64x = 31,136,448.03
  5. Step 5: Solve for x
    x = 31,136,448.03/5,997.64
  6. Step 6: Final answer
    x = 5,191.45

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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.