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Finding the Fourth Proportional to 5,891.41, 8,836.53 and 1,942.55

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Solution

The fourth proportional to 5,891.41, 8,836.53 and 1,942.55 is: 2,913.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.41 : 8,836.53 = 1,942.55 : x
  2. Step 2: Convert to fraction form
    5,891.41/8,836.53 = 1,942.55/x
  3. Step 3: Cross multiply
    5,891.41x = 8,836.53 × 1,942.55
  4. Step 4: Simplify right side
    5,891.41x = 17,165,401.35
  5. Step 5: Solve for x
    x = 17,165,401.35/5,891.41
  6. Step 6: Final answer
    x = 2,913.63

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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.