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Finding the Fourth Proportional to 4,809.38, 7,214.06 and 1,522.73

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Solution

The fourth proportional to 4,809.38, 7,214.06 and 1,522.73 is: 2,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.38 : 7,214.06 = 1,522.73 : x
  2. Step 2: Convert to fraction form
    4,809.38/7,214.06 = 1,522.73/x
  3. Step 3: Cross multiply
    4,809.38x = 7,214.06 × 1,522.73
  4. Step 4: Simplify right side
    4,809.38x = 10,985,021.90
  5. Step 5: Solve for x
    x = 10,985,021.90/4,809.38
  6. Step 6: Final answer
    x = 2,284.09

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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.