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Finding the Fourth Proportional to 4,181.62, 5,767.02 and 3,520

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Solution

The fourth proportional to 4,181.62, 5,767.02 and 3,520 is: 4,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.62 : 5,767.02 = 3,520 : x
  2. Step 2: Convert to fraction form
    4,181.62/5,767.02 = 3,520/x
  3. Step 3: Cross multiply
    4,181.62x = 5,767.02 × 3,520
  4. Step 4: Simplify right side
    4,181.62x = 20,299,910.40
  5. Step 5: Solve for x
    x = 20,299,910.40/4,181.62
  6. Step 6: Final answer
    x = 4,854.56

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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.