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Finding the Fourth Proportional to 4,809.38, 6,636.57 and 2,819.66

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Solution

The fourth proportional to 4,809.38, 6,636.57 and 2,819.66 is: 3,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.38 : 6,636.57 = 2,819.66 : x
  2. Step 2: Convert to fraction form
    4,809.38/6,636.57 = 2,819.66/x
  3. Step 3: Cross multiply
    4,809.38x = 6,636.57 × 2,819.66
  4. Step 4: Simplify right side
    4,809.38x = 18,712,870.97
  5. Step 5: Solve for x
    x = 18,712,870.97/4,809.38
  6. Step 6: Final answer
    x = 3,890.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.