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Finding the Fourth Proportional to 4,109.67, 6,164.64 and 1,512

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Solution

The fourth proportional to 4,109.67, 6,164.64 and 1,512 is: 2,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.67 : 6,164.64 = 1,512 : x
  2. Step 2: Convert to fraction form
    4,109.67/6,164.64 = 1,512/x
  3. Step 3: Cross multiply
    4,109.67x = 6,164.64 × 1,512
  4. Step 4: Simplify right side
    4,109.67x = 9,320,935.68
  5. Step 5: Solve for x
    x = 9,320,935.68/4,109.67
  6. Step 6: Final answer
    x = 2,268.05

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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.