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Finding the Fourth Proportional to 5,687.04, 8,529 and 1,791.36

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Solution

The fourth proportional to 5,687.04, 8,529 and 1,791.36 is: 2,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.04 : 8,529 = 1,791.36 : x
  2. Step 2: Convert to fraction form
    5,687.04/8,529 = 1,791.36/x
  3. Step 3: Cross multiply
    5,687.04x = 8,529 × 1,791.36
  4. Step 4: Simplify right side
    5,687.04x = 15,278,509.44
  5. Step 5: Solve for x
    x = 15,278,509.44/5,687.04
  6. Step 6: Final answer
    x = 2,686.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.