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Finding the Fourth Proportional to 5,542.09, 7,648.09 and 3,553.81

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Solution

The fourth proportional to 5,542.09, 7,648.09 and 3,553.81 is: 4,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.09 : 7,648.09 = 3,553.81 : x
  2. Step 2: Convert to fraction form
    5,542.09/7,648.09 = 3,553.81/x
  3. Step 3: Cross multiply
    5,542.09x = 7,648.09 × 3,553.81
  4. Step 4: Simplify right side
    5,542.09x = 27,179,830.72
  5. Step 5: Solve for x
    x = 27,179,830.72/5,542.09
  6. Step 6: Final answer
    x = 4,904.26

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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.