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Finding the Fourth Proportional to 3,927.54, 5,891.14 and 1,461.26

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Solution

The fourth proportional to 3,927.54, 5,891.14 and 1,461.26 is: 2,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.54 : 5,891.14 = 1,461.26 : x
  2. Step 2: Convert to fraction form
    3,927.54/5,891.14 = 1,461.26/x
  3. Step 3: Cross multiply
    3,927.54x = 5,891.14 × 1,461.26
  4. Step 4: Simplify right side
    3,927.54x = 8,608,487.24
  5. Step 5: Solve for x
    x = 8,608,487.24/3,927.54
  6. Step 6: Final answer
    x = 2,191.83

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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.