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Finding the Fourth Proportional to 3,828.50, 5,282.94 and 2,149.82

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Solution

The fourth proportional to 3,828.50, 5,282.94 and 2,149.82 is: 2,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.50 : 5,282.94 = 2,149.82 : x
  2. Step 2: Convert to fraction form
    3,828.50/5,282.94 = 2,149.82/x
  3. Step 3: Cross multiply
    3,828.50x = 5,282.94 × 2,149.82
  4. Step 4: Simplify right side
    3,828.50x = 11,357,370.07
  5. Step 5: Solve for x
    x = 11,357,370.07/3,828.50
  6. Step 6: Final answer
    x = 2,966.53

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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.