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Finding the Fourth Proportional to 3,828.92, 5,284.17 and 2,257.92

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Solution

The fourth proportional to 3,828.92, 5,284.17 and 2,257.92 is: 3,116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.92 : 5,284.17 = 2,257.92 : x
  2. Step 2: Convert to fraction form
    3,828.92/5,284.17 = 2,257.92/x
  3. Step 3: Cross multiply
    3,828.92x = 5,284.17 × 2,257.92
  4. Step 4: Simplify right side
    3,828.92x = 11,931,233.13
  5. Step 5: Solve for x
    x = 11,931,233.13/3,828.92
  6. Step 6: Final answer
    x = 3,116.09

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