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Finding the Fourth Proportional to 2,793.92, 3,873.52 and 2,638.40

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Solution

The fourth proportional to 2,793.92, 3,873.52 and 2,638.40 is: 3,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,793.92 : 3,873.52 = 2,638.40 : x
  2. Step 2: Convert to fraction form
    2,793.92/3,873.52 = 2,638.40/x
  3. Step 3: Cross multiply
    2,793.92x = 3,873.52 × 2,638.40
  4. Step 4: Simplify right side
    2,793.92x = 10,219,895.17
  5. Step 5: Solve for x
    x = 10,219,895.17/2,793.92
  6. Step 6: Final answer
    x = 3,657.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.