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Finding the Fourth Proportional to 3,687.03, 5,542.70 and 3,416.49

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Solution

The fourth proportional to 3,687.03, 5,542.70 and 3,416.49 is: 5,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.03 : 5,542.70 = 3,416.49 : x
  2. Step 2: Convert to fraction form
    3,687.03/5,542.70 = 3,416.49/x
  3. Step 3: Cross multiply
    3,687.03x = 5,542.70 × 3,416.49
  4. Step 4: Simplify right side
    3,687.03x = 18,936,562.04
  5. Step 5: Solve for x
    x = 18,936,562.04/3,687.03
  6. Step 6: Final answer
    x = 5,135.99

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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.