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Finding the Fourth Proportional to 5,942.87, 8,200.70 and 3,290.32

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Solution

The fourth proportional to 5,942.87, 8,200.70 and 3,290.32 is: 4,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.87 : 8,200.70 = 3,290.32 : x
  2. Step 2: Convert to fraction form
    5,942.87/8,200.70 = 3,290.32/x
  3. Step 3: Cross multiply
    5,942.87x = 8,200.70 × 3,290.32
  4. Step 4: Simplify right side
    5,942.87x = 26,982,886.22
  5. Step 5: Solve for x
    x = 26,982,886.22/5,942.87
  6. Step 6: Final answer
    x = 4,540.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.