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Finding the Fourth Proportional to 4,417.50, 6,627.06 and 2,109

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Solution

The fourth proportional to 4,417.50, 6,627.06 and 2,109 is: 3,163.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.50 : 6,627.06 = 2,109 : x
  2. Step 2: Convert to fraction form
    4,417.50/6,627.06 = 2,109/x
  3. Step 3: Cross multiply
    4,417.50x = 6,627.06 × 2,109
  4. Step 4: Simplify right side
    4,417.50x = 13,976,469.54
  5. Step 5: Solve for x
    x = 13,976,469.54/4,417.50
  6. Step 6: Final answer
    x = 3,163.89

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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.