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Finding the Fourth Proportional to 3,745.67, 5,618.50 and 1,553.20

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Solution

The fourth proportional to 3,745.67, 5,618.50 and 1,553.20 is: 2,329.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.67 : 5,618.50 = 1,553.20 : x
  2. Step 2: Convert to fraction form
    3,745.67/5,618.50 = 1,553.20/x
  3. Step 3: Cross multiply
    3,745.67x = 5,618.50 × 1,553.20
  4. Step 4: Simplify right side
    3,745.67x = 8,726,636.27
  5. Step 5: Solve for x
    x = 8,726,636.27/3,745.67
  6. Step 6: Final answer
    x = 2,329.80

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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.