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Finding the Fourth Proportional to 3,165, 4,745.76 and 1,083.84

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Solution

The fourth proportional to 3,165, 4,745.76 and 1,083.84 is: 1,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165 : 4,745.76 = 1,083.84 : x
  2. Step 2: Convert to fraction form
    3,165/4,745.76 = 1,083.84/x
  3. Step 3: Cross multiply
    3,165x = 4,745.76 × 1,083.84
  4. Step 4: Simplify right side
    3,165x = 5,143,644.52
  5. Step 5: Solve for x
    x = 5,143,644.52/3,165
  6. Step 6: Final answer
    x = 1,625.16

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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.