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Finding the Fourth Proportional to 3,866.67, 5,335.94 and 2,098.26

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Solution

The fourth proportional to 3,866.67, 5,335.94 and 2,098.26 is: 2,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.67 : 5,335.94 = 2,098.26 : x
  2. Step 2: Convert to fraction form
    3,866.67/5,335.94 = 2,098.26/x
  3. Step 3: Cross multiply
    3,866.67x = 5,335.94 × 2,098.26
  4. Step 4: Simplify right side
    3,866.67x = 11,196,178.97
  5. Step 5: Solve for x
    x = 11,196,178.97/3,866.67
  6. Step 6: Final answer
    x = 2,895.56

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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.