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Finding the Fourth Proportional to 4,921.68, 7,382.04 and 1,843.92

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Solution

The fourth proportional to 4,921.68, 7,382.04 and 1,843.92 is: 2,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.68 : 7,382.04 = 1,843.92 : x
  2. Step 2: Convert to fraction form
    4,921.68/7,382.04 = 1,843.92/x
  3. Step 3: Cross multiply
    4,921.68x = 7,382.04 × 1,843.92
  4. Step 4: Simplify right side
    4,921.68x = 13,611,891.20
  5. Step 5: Solve for x
    x = 13,611,891.20/4,921.68
  6. Step 6: Final answer
    x = 2,765.70

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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.