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Finding the Fourth Proportional to 3,829.92, 5,284.64 and 2,257.80

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Solution

The fourth proportional to 3,829.92, 5,284.64 and 2,257.80 is: 3,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.92 : 5,284.64 = 2,257.80 : x
  2. Step 2: Convert to fraction form
    3,829.92/5,284.64 = 2,257.80/x
  3. Step 3: Cross multiply
    3,829.92x = 5,284.64 × 2,257.80
  4. Step 4: Simplify right side
    3,829.92x = 11,931,660.19
  5. Step 5: Solve for x
    x = 11,931,660.19/3,829.92
  6. Step 6: Final answer
    x = 3,115.38

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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.