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Finding the Fourth Proportional to 4,809.68, 7,209.66 and 2,034.62

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Solution

The fourth proportional to 4,809.68, 7,209.66 and 2,034.62 is: 3,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.68 : 7,209.66 = 2,034.62 : x
  2. Step 2: Convert to fraction form
    4,809.68/7,209.66 = 2,034.62/x
  3. Step 3: Cross multiply
    4,809.68x = 7,209.66 × 2,034.62
  4. Step 4: Simplify right side
    4,809.68x = 14,668,918.43
  5. Step 5: Solve for x
    x = 14,668,918.43/4,809.68
  6. Step 6: Final answer
    x = 3,049.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.