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Finding the Fourth Proportional to 5,942.76, 8,201.26 and 3,290.16

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Solution

The fourth proportional to 5,942.76, 8,201.26 and 3,290.16 is: 4,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.76 : 8,201.26 = 3,290.16 : x
  2. Step 2: Convert to fraction form
    5,942.76/8,201.26 = 3,290.16/x
  3. Step 3: Cross multiply
    5,942.76x = 8,201.26 × 3,290.16
  4. Step 4: Simplify right side
    5,942.76x = 26,983,492.47
  5. Step 5: Solve for x
    x = 26,983,492.47/5,942.76
  6. Step 6: Final answer
    x = 4,540.57

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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.