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Finding the Fourth Proportional to 3,542.56, 5,308.08 and 2,083.04

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Solution

The fourth proportional to 3,542.56, 5,308.08 and 2,083.04 is: 3,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.56 : 5,308.08 = 2,083.04 : x
  2. Step 2: Convert to fraction form
    3,542.56/5,308.08 = 2,083.04/x
  3. Step 3: Cross multiply
    3,542.56x = 5,308.08 × 2,083.04
  4. Step 4: Simplify right side
    3,542.56x = 11,056,942.96
  5. Step 5: Solve for x
    x = 11,056,942.96/3,542.56
  6. Step 6: Final answer
    x = 3,121.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.