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Finding the Fourth Proportional to 3,533.92, 4,874.65 and 2,540.54

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Solution

The fourth proportional to 3,533.92, 4,874.65 and 2,540.54 is: 3,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.92 : 4,874.65 = 2,540.54 : x
  2. Step 2: Convert to fraction form
    3,533.92/4,874.65 = 2,540.54/x
  3. Step 3: Cross multiply
    3,533.92x = 4,874.65 × 2,540.54
  4. Step 4: Simplify right side
    3,533.92x = 12,384,249.15
  5. Step 5: Solve for x
    x = 12,384,249.15/3,533.92
  6. Step 6: Final answer
    x = 3,504.40

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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.