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Finding the Fourth Proportional to 4,672.80, 7,010.10 and 2,206.94

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Solution

The fourth proportional to 4,672.80, 7,010.10 and 2,206.94 is: 3,310.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.80 : 7,010.10 = 2,206.94 : x
  2. Step 2: Convert to fraction form
    4,672.80/7,010.10 = 2,206.94/x
  3. Step 3: Cross multiply
    4,672.80x = 7,010.10 × 2,206.94
  4. Step 4: Simplify right side
    4,672.80x = 15,470,835.04
  5. Step 5: Solve for x
    x = 15,470,835.04/4,672.80
  6. Step 6: Final answer
    x = 3,310.83

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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.