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Finding the Fourth Proportional to 3,834.34, 5,751.92 and 1,642.48

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Solution

The fourth proportional to 3,834.34, 5,751.92 and 1,642.48 is: 2,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.34 : 5,751.92 = 1,642.48 : x
  2. Step 2: Convert to fraction form
    3,834.34/5,751.92 = 1,642.48/x
  3. Step 3: Cross multiply
    3,834.34x = 5,751.92 × 1,642.48
  4. Step 4: Simplify right side
    3,834.34x = 9,447,413.56
  5. Step 5: Solve for x
    x = 9,447,413.56/3,834.34
  6. Step 6: Final answer
    x = 2,463.90

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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.