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Finding the Fourth Proportional to 3,542.49, 5,302.80 and 3,240.09

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Solution

The fourth proportional to 3,542.49, 5,302.80 and 3,240.09 is: 4,850.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.49 : 5,302.80 = 3,240.09 : x
  2. Step 2: Convert to fraction form
    3,542.49/5,302.80 = 3,240.09/x
  3. Step 3: Cross multiply
    3,542.49x = 5,302.80 × 3,240.09
  4. Step 4: Simplify right side
    3,542.49x = 17,181,549.25
  5. Step 5: Solve for x
    x = 17,181,549.25/3,542.49
  6. Step 6: Final answer
    x = 4,850.13

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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.