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Finding the Fourth Proportional to 3,745.38, 5,165.70 and 3,187.68

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Solution

The fourth proportional to 3,745.38, 5,165.70 and 3,187.68 is: 4,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.38 : 5,165.70 = 3,187.68 : x
  2. Step 2: Convert to fraction form
    3,745.38/5,165.70 = 3,187.68/x
  3. Step 3: Cross multiply
    3,745.38x = 5,165.70 × 3,187.68
  4. Step 4: Simplify right side
    3,745.38x = 16,466,598.58
  5. Step 5: Solve for x
    x = 16,466,598.58/3,745.38
  6. Step 6: Final answer
    x = 4,396.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.