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Finding the Fourth Proportional to 5,997.69, 8,272.53 and 5,199.59

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Solution

The fourth proportional to 5,997.69, 8,272.53 and 5,199.59 is: 7,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.69 : 8,272.53 = 5,199.59 : x
  2. Step 2: Convert to fraction form
    5,997.69/8,272.53 = 5,199.59/x
  3. Step 3: Cross multiply
    5,997.69x = 8,272.53 × 5,199.59
  4. Step 4: Simplify right side
    5,997.69x = 43,013,744.17
  5. Step 5: Solve for x
    x = 43,013,744.17/5,997.69
  6. Step 6: Final answer
    x = 7,171.72

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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.