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Finding the Fourth Proportional to 3,471.66, 5,208.03 and 1,522.80

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Solution

The fourth proportional to 3,471.66, 5,208.03 and 1,522.80 is: 2,284.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.66 : 5,208.03 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    3,471.66/5,208.03 = 1,522.80/x
  3. Step 3: Cross multiply
    3,471.66x = 5,208.03 × 1,522.80
  4. Step 4: Simplify right side
    3,471.66x = 7,930,788.08
  5. Step 5: Solve for x
    x = 7,930,788.08/3,471.66
  6. Step 6: Final answer
    x = 2,284.44

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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.