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Finding the Fourth Proportional to 3,498.12, 5,270.52 and 3,165

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Solution

The fourth proportional to 3,498.12, 5,270.52 and 3,165 is: 4,768.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498.12 : 5,270.52 = 3,165 : x
  2. Step 2: Convert to fraction form
    3,498.12/5,270.52 = 3,165/x
  3. Step 3: Cross multiply
    3,498.12x = 5,270.52 × 3,165
  4. Step 4: Simplify right side
    3,498.12x = 16,681,195.80
  5. Step 5: Solve for x
    x = 16,681,195.80/3,498.12
  6. Step 6: Final answer
    x = 4,768.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.