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Finding the Fourth Proportional to 5,212.35, 7,822.17 and 1,928.21

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Solution

The fourth proportional to 5,212.35, 7,822.17 and 1,928.21 is: 2,893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.35 : 7,822.17 = 1,928.21 : x
  2. Step 2: Convert to fraction form
    5,212.35/7,822.17 = 1,928.21/x
  3. Step 3: Cross multiply
    5,212.35x = 7,822.17 × 1,928.21
  4. Step 4: Simplify right side
    5,212.35x = 15,082,747.30
  5. Step 5: Solve for x
    x = 15,082,747.30/5,212.35
  6. Step 6: Final answer
    x = 2,893.66

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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.