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Finding the Fourth Proportional to 5,942.46, 8,959.29 and 5,540.91

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Solution

The fourth proportional to 5,942.46, 8,959.29 and 5,540.91 is: 8,353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.46 : 8,959.29 = 5,540.91 : x
  2. Step 2: Convert to fraction form
    5,942.46/8,959.29 = 5,540.91/x
  3. Step 3: Cross multiply
    5,942.46x = 8,959.29 × 5,540.91
  4. Step 4: Simplify right side
    5,942.46x = 49,642,619.55
  5. Step 5: Solve for x
    x = 49,642,619.55/5,942.46
  6. Step 6: Final answer
    x = 8,353.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.