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Finding the Fourth Proportional to 5,751.87, 7,938.17 and 3,362.77

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Solution

The fourth proportional to 5,751.87, 7,938.17 and 3,362.77 is: 4,640.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.87 : 7,938.17 = 3,362.77 : x
  2. Step 2: Convert to fraction form
    5,751.87/7,938.17 = 3,362.77/x
  3. Step 3: Cross multiply
    5,751.87x = 7,938.17 × 3,362.77
  4. Step 4: Simplify right side
    5,751.87x = 26,694,239.93
  5. Step 5: Solve for x
    x = 26,694,239.93/5,751.87
  6. Step 6: Final answer
    x = 4,640.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.