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Finding the Fourth Proportional to 4,167, 6,231.74 and 3,180.15

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Solution

The fourth proportional to 4,167, 6,231.74 and 3,180.15 is: 4,755.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,167 : 6,231.74 = 3,180.15 : x
  2. Step 2: Convert to fraction form
    4,167/6,231.74 = 3,180.15/x
  3. Step 3: Cross multiply
    4,167x = 6,231.74 × 3,180.15
  4. Step 4: Simplify right side
    4,167x = 19,817,852.06
  5. Step 5: Solve for x
    x = 19,817,852.06/4,167
  6. Step 6: Final answer
    x = 4,755.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.