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Finding the Fourth Proportional to 3,937.62, 5,904.36 and 1,745.40

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Solution

The fourth proportional to 3,937.62, 5,904.36 and 1,745.40 is: 2,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.62 : 5,904.36 = 1,745.40 : x
  2. Step 2: Convert to fraction form
    3,937.62/5,904.36 = 1,745.40/x
  3. Step 3: Cross multiply
    3,937.62x = 5,904.36 × 1,745.40
  4. Step 4: Simplify right side
    3,937.62x = 10,305,469.94
  5. Step 5: Solve for x
    x = 10,305,469.94/3,937.62
  6. Step 6: Final answer
    x = 2,617.18

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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.