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Finding the Fourth Proportional to 3,858.65, 5,324.96 and 2,180.09

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Solution

The fourth proportional to 3,858.65, 5,324.96 and 2,180.09 is: 3,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.65 : 5,324.96 = 2,180.09 : x
  2. Step 2: Convert to fraction form
    3,858.65/5,324.96 = 2,180.09/x
  3. Step 3: Cross multiply
    3,858.65x = 5,324.96 × 2,180.09
  4. Step 4: Simplify right side
    3,858.65x = 11,608,854.52
  5. Step 5: Solve for x
    x = 11,608,854.52/3,858.65
  6. Step 6: Final answer
    x = 3,008.53

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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.