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Finding the Fourth Proportional to 4,109.88, 6,164.81 and 1,373.88

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Solution

The fourth proportional to 4,109.88, 6,164.81 and 1,373.88 is: 2,060.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,109.88 : 6,164.81 = 1,373.88 : x
  2. Step 2: Convert to fraction form
    4,109.88/6,164.81 = 1,373.88/x
  3. Step 3: Cross multiply
    4,109.88x = 6,164.81 × 1,373.88
  4. Step 4: Simplify right side
    4,109.88x = 8,469,709.16
  5. Step 5: Solve for x
    x = 8,469,709.16/4,109.88
  6. Step 6: Final answer
    x = 2,060.82

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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.