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Finding the Fourth Proportional to 3,828.25, 5,282.99 and 2,149.59

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Solution

The fourth proportional to 3,828.25, 5,282.99 and 2,149.59 is: 2,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.25 : 5,282.99 = 2,149.59 : x
  2. Step 2: Convert to fraction form
    3,828.25/5,282.99 = 2,149.59/x
  3. Step 3: Cross multiply
    3,828.25x = 5,282.99 × 2,149.59
  4. Step 4: Simplify right side
    3,828.25x = 11,356,262.47
  5. Step 5: Solve for x
    x = 11,356,262.47/3,828.25
  6. Step 6: Final answer
    x = 2,966.44

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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.