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Finding the Fourth Proportional to 4,170.29, 6,220.06 and 3,516.49

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Solution

The fourth proportional to 4,170.29, 6,220.06 and 3,516.49 is: 5,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.29 : 6,220.06 = 3,516.49 : x
  2. Step 2: Convert to fraction form
    4,170.29/6,220.06 = 3,516.49/x
  3. Step 3: Cross multiply
    4,170.29x = 6,220.06 × 3,516.49
  4. Step 4: Simplify right side
    4,170.29x = 21,872,747.69
  5. Step 5: Solve for x
    x = 21,872,747.69/4,170.29
  6. Step 6: Final answer
    x = 5,244.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.