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Finding the Fourth Proportional to 4,808.70, 7,213.08 and 1,521.80

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Solution

The fourth proportional to 4,808.70, 7,213.08 and 1,521.80 is: 2,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,808.70 : 7,213.08 = 1,521.80 : x
  2. Step 2: Convert to fraction form
    4,808.70/7,213.08 = 1,521.80/x
  3. Step 3: Cross multiply
    4,808.70x = 7,213.08 × 1,521.80
  4. Step 4: Simplify right side
    4,808.70x = 10,976,865.14
  5. Step 5: Solve for x
    x = 10,976,865.14/4,808.70
  6. Step 6: Final answer
    x = 2,282.71

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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.