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Finding the Fourth Proportional to 5,219.57, 7,829.36 and 1,270.82

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Solution

The fourth proportional to 5,219.57, 7,829.36 and 1,270.82 is: 1,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.57 : 7,829.36 = 1,270.82 : x
  2. Step 2: Convert to fraction form
    5,219.57/7,829.36 = 1,270.82/x
  3. Step 3: Cross multiply
    5,219.57x = 7,829.36 × 1,270.82
  4. Step 4: Simplify right side
    5,219.57x = 9,949,700.92
  5. Step 5: Solve for x
    x = 9,949,700.92/5,219.57
  6. Step 6: Final answer
    x = 1,906.23

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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.