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Finding the Fourth Proportional to 4,179.88, 6,273.72 and 2,206.96

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Solution

The fourth proportional to 4,179.88, 6,273.72 and 2,206.96 is: 3,312.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.88 : 6,273.72 = 2,206.96 : x
  2. Step 2: Convert to fraction form
    4,179.88/6,273.72 = 2,206.96/x
  3. Step 3: Cross multiply
    4,179.88x = 6,273.72 × 2,206.96
  4. Step 4: Simplify right side
    4,179.88x = 13,845,849.09
  5. Step 5: Solve for x
    x = 13,845,849.09/4,179.88
  6. Step 6: Final answer
    x = 3,312.50

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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.