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Finding the Fourth Proportional to 5,419, 8,128.79 and 1,721.52

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Solution

The fourth proportional to 5,419, 8,128.79 and 1,721.52 is: 2,582.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419 : 8,128.79 = 1,721.52 : x
  2. Step 2: Convert to fraction form
    5,419/8,128.79 = 1,721.52/x
  3. Step 3: Cross multiply
    5,419x = 8,128.79 × 1,721.52
  4. Step 4: Simplify right side
    5,419x = 13,993,874.56
  5. Step 5: Solve for x
    x = 13,993,874.56/5,419
  6. Step 6: Final answer
    x = 2,582.37

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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.