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Finding the Fourth Proportional to 4,342.50, 5,997.60 and 2,942.82

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Solution

The fourth proportional to 4,342.50, 5,997.60 and 2,942.82 is: 4,064.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.50 : 5,997.60 = 2,942.82 : x
  2. Step 2: Convert to fraction form
    4,342.50/5,997.60 = 2,942.82/x
  3. Step 3: Cross multiply
    4,342.50x = 5,997.60 × 2,942.82
  4. Step 4: Simplify right side
    4,342.50x = 17,649,857.23
  5. Step 5: Solve for x
    x = 17,649,857.23/4,342.50
  6. Step 6: Final answer
    x = 4,064.45

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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.