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Finding the Fourth Proportional to 3,704.49, 5,553.99 and 1,363.50

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Solution

The fourth proportional to 3,704.49, 5,553.99 and 1,363.50 is: 2,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.49 : 5,553.99 = 1,363.50 : x
  2. Step 2: Convert to fraction form
    3,704.49/5,553.99 = 1,363.50/x
  3. Step 3: Cross multiply
    3,704.49x = 5,553.99 × 1,363.50
  4. Step 4: Simplify right side
    3,704.49x = 7,572,865.37
  5. Step 5: Solve for x
    x = 7,572,865.37/3,704.49
  6. Step 6: Final answer
    x = 2,044.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.