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Finding the Fourth Proportional to 3,927.52, 5,891.28 and 1,846.23

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Solution

The fourth proportional to 3,927.52, 5,891.28 and 1,846.23 is: 2,769.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.52 : 5,891.28 = 1,846.23 : x
  2. Step 2: Convert to fraction form
    3,927.52/5,891.28 = 1,846.23/x
  3. Step 3: Cross multiply
    3,927.52x = 5,891.28 × 1,846.23
  4. Step 4: Simplify right side
    3,927.52x = 10,876,657.87
  5. Step 5: Solve for x
    x = 10,876,657.87/3,927.52
  6. Step 6: Final answer
    x = 2,769.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.