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Finding the Fourth Proportional to 5,232.57, 7,843.82 and 1,767.93

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Solution

The fourth proportional to 5,232.57, 7,843.82 and 1,767.93 is: 2,650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.57 : 7,843.82 = 1,767.93 : x
  2. Step 2: Convert to fraction form
    5,232.57/7,843.82 = 1,767.93/x
  3. Step 3: Cross multiply
    5,232.57x = 7,843.82 × 1,767.93
  4. Step 4: Simplify right side
    5,232.57x = 13,867,315.85
  5. Step 5: Solve for x
    x = 13,867,315.85/5,232.57
  6. Step 6: Final answer
    x = 2,650.19

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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.