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Finding the Fourth Proportional to 3,548.98, 5,324.21 and 1,208.80

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Solution

The fourth proportional to 3,548.98, 5,324.21 and 1,208.80 is: 1,813.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.98 : 5,324.21 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    3,548.98/5,324.21 = 1,208.80/x
  3. Step 3: Cross multiply
    3,548.98x = 5,324.21 × 1,208.80
  4. Step 4: Simplify right side
    3,548.98x = 6,435,872.38
  5. Step 5: Solve for x
    x = 6,435,872.38/3,548.98
  6. Step 6: Final answer
    x = 1,813.45

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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.