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Finding the Fourth Proportional to 3,548.84, 5,324.04 and 1,083.69

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Solution

The fourth proportional to 3,548.84, 5,324.04 and 1,083.69 is: 1,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.84 : 5,324.04 = 1,083.69 : x
  2. Step 2: Convert to fraction form
    3,548.84/5,324.04 = 1,083.69/x
  3. Step 3: Cross multiply
    3,548.84x = 5,324.04 × 1,083.69
  4. Step 4: Simplify right side
    3,548.84x = 5,769,608.91
  5. Step 5: Solve for x
    x = 5,769,608.91/3,548.84
  6. Step 6: Final answer
    x = 1,625.78

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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.