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Finding the Fourth Proportional to 4,205.46, 5,800.38 and 2,786.64

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Solution

The fourth proportional to 4,205.46, 5,800.38 and 2,786.64 is: 3,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.46 : 5,800.38 = 2,786.64 : x
  2. Step 2: Convert to fraction form
    4,205.46/5,800.38 = 2,786.64/x
  3. Step 3: Cross multiply
    4,205.46x = 5,800.38 × 2,786.64
  4. Step 4: Simplify right side
    4,205.46x = 16,163,570.92
  5. Step 5: Solve for x
    x = 16,163,570.92/4,205.46
  6. Step 6: Final answer
    x = 3,843.47

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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.