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Finding the Fourth Proportional to 5,968.22, 8,942.60 and 3,042.50

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Solution

The fourth proportional to 5,968.22, 8,942.60 and 3,042.50 is: 4,558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.22 : 8,942.60 = 3,042.50 : x
  2. Step 2: Convert to fraction form
    5,968.22/8,942.60 = 3,042.50/x
  3. Step 3: Cross multiply
    5,968.22x = 8,942.60 × 3,042.50
  4. Step 4: Simplify right side
    5,968.22x = 27,207,860.50
  5. Step 5: Solve for x
    x = 27,207,860.50/5,968.22
  6. Step 6: Final answer
    x = 4,558.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.