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Finding the Fourth Proportional to 3,641.42, 5,469.42 and 3,553.94

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Solution

The fourth proportional to 3,641.42, 5,469.42 and 3,553.94 is: 5,338.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.42 : 5,469.42 = 3,553.94 : x
  2. Step 2: Convert to fraction form
    3,641.42/5,469.42 = 3,553.94/x
  3. Step 3: Cross multiply
    3,641.42x = 5,469.42 × 3,553.94
  4. Step 4: Simplify right side
    3,641.42x = 19,437,990.51
  5. Step 5: Solve for x
    x = 19,437,990.51/3,641.42
  6. Step 6: Final answer
    x = 5,338.02

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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.