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Finding the Fourth Proportional to 3,093.92, 4,272.85 and 2,827.38

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Solution

The fourth proportional to 3,093.92, 4,272.85 and 2,827.38 is: 3,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.92 : 4,272.85 = 2,827.38 : x
  2. Step 2: Convert to fraction form
    3,093.92/4,272.85 = 2,827.38/x
  3. Step 3: Cross multiply
    3,093.92x = 4,272.85 × 2,827.38
  4. Step 4: Simplify right side
    3,093.92x = 12,080,978.17
  5. Step 5: Solve for x
    x = 12,080,978.17/3,093.92
  6. Step 6: Final answer
    x = 3,904.75

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Why These Related Problems?

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