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Finding the Fourth Proportional to 3,841.92, 5,302.37 and 2,163.66

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Solution

The fourth proportional to 3,841.92, 5,302.37 and 2,163.66 is: 2,986.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.92 : 5,302.37 = 2,163.66 : x
  2. Step 2: Convert to fraction form
    3,841.92/5,302.37 = 2,163.66/x
  3. Step 3: Cross multiply
    3,841.92x = 5,302.37 × 2,163.66
  4. Step 4: Simplify right side
    3,841.92x = 11,472,525.87
  5. Step 5: Solve for x
    x = 11,472,525.87/3,841.92
  6. Step 6: Final answer
    x = 2,986.14

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1.5x scale

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.