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Finding the Fourth Proportional to 5,212.44, 7,819.64 and 1,702.14

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Solution

The fourth proportional to 5,212.44, 7,819.64 and 1,702.14 is: 2,553.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.44 : 7,819.64 = 1,702.14 : x
  2. Step 2: Convert to fraction form
    5,212.44/7,819.64 = 1,702.14/x
  3. Step 3: Cross multiply
    5,212.44x = 7,819.64 × 1,702.14
  4. Step 4: Simplify right side
    5,212.44x = 13,310,122.03
  5. Step 5: Solve for x
    x = 13,310,122.03/5,212.44
  6. Step 6: Final answer
    x = 2,553.53

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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.