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Finding the Fourth Proportional to 5,162.82, 7,743.32 and 2,388.98

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Solution

The fourth proportional to 5,162.82, 7,743.32 and 2,388.98 is: 3,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.82 : 7,743.32 = 2,388.98 : x
  2. Step 2: Convert to fraction form
    5,162.82/7,743.32 = 2,388.98/x
  3. Step 3: Cross multiply
    5,162.82x = 7,743.32 × 2,388.98
  4. Step 4: Simplify right side
    5,162.82x = 18,498,585.95
  5. Step 5: Solve for x
    x = 18,498,585.95/5,162.82
  6. Step 6: Final answer
    x = 3,583.04

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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.