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Finding the Fourth Proportional to 3,548.75, 5,323.14 and 1,083.38

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Solution

The fourth proportional to 3,548.75, 5,323.14 and 1,083.38 is: 1,625.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.75 : 5,323.14 = 1,083.38 : x
  2. Step 2: Convert to fraction form
    3,548.75/5,323.14 = 1,083.38/x
  3. Step 3: Cross multiply
    3,548.75x = 5,323.14 × 1,083.38
  4. Step 4: Simplify right side
    3,548.75x = 5,766,956.80
  5. Step 5: Solve for x
    x = 5,766,956.80/3,548.75
  6. Step 6: Final answer
    x = 1,625.07

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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.