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Finding the Fourth Proportional to 4,335.92, 5,977.74 and 2,843.30

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Solution

The fourth proportional to 4,335.92, 5,977.74 and 2,843.30 is: 3,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.92 : 5,977.74 = 2,843.30 : x
  2. Step 2: Convert to fraction form
    4,335.92/5,977.74 = 2,843.30/x
  3. Step 3: Cross multiply
    4,335.92x = 5,977.74 × 2,843.30
  4. Step 4: Simplify right side
    4,335.92x = 16,996,508.14
  5. Step 5: Solve for x
    x = 16,996,508.14/4,335.92
  6. Step 6: Final answer
    x = 3,919.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.