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Finding the Fourth Proportional to 4,112.82, 6,170.31 and 2,164.50

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Solution

The fourth proportional to 4,112.82, 6,170.31 and 2,164.50 is: 3,247.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.82 : 6,170.31 = 2,164.50 : x
  2. Step 2: Convert to fraction form
    4,112.82/6,170.31 = 2,164.50/x
  3. Step 3: Cross multiply
    4,112.82x = 6,170.31 × 2,164.50
  4. Step 4: Simplify right side
    4,112.82x = 13,355,636.00
  5. Step 5: Solve for x
    x = 13,355,636.00/4,112.82
  6. Step 6: Final answer
    x = 3,247.32

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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.