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Finding the Fourth Proportional to 4,841.37, 6,680.07 and 3,165.25

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Solution

The fourth proportional to 4,841.37, 6,680.07 and 3,165.25 is: 4,367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.37 : 6,680.07 = 3,165.25 : x
  2. Step 2: Convert to fraction form
    4,841.37/6,680.07 = 3,165.25/x
  3. Step 3: Cross multiply
    4,841.37x = 6,680.07 × 3,165.25
  4. Step 4: Simplify right side
    4,841.37x = 21,144,091.57
  5. Step 5: Solve for x
    x = 21,144,091.57/4,841.37
  6. Step 6: Final answer
    x = 4,367.38

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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.