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Finding the Fourth Proportional to 4,560.92, 6,843.20 and 1,639.44

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Solution

The fourth proportional to 4,560.92, 6,843.20 and 1,639.44 is: 2,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.92 : 6,843.20 = 1,639.44 : x
  2. Step 2: Convert to fraction form
    4,560.92/6,843.20 = 1,639.44/x
  3. Step 3: Cross multiply
    4,560.92x = 6,843.20 × 1,639.44
  4. Step 4: Simplify right side
    4,560.92x = 11,219,007.61
  5. Step 5: Solve for x
    x = 11,219,007.61/4,560.92
  6. Step 6: Final answer
    x = 2,459.82

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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.