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Finding the Fourth Proportional to 3,755.04, 5,182 and 2,183.60

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Solution

The fourth proportional to 3,755.04, 5,182 and 2,183.60 is: 3,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.04 : 5,182 = 2,183.60 : x
  2. Step 2: Convert to fraction form
    3,755.04/5,182 = 2,183.60/x
  3. Step 3: Cross multiply
    3,755.04x = 5,182 × 2,183.60
  4. Step 4: Simplify right side
    3,755.04x = 11,315,415.20
  5. Step 5: Solve for x
    x = 11,315,415.20/3,755.04
  6. Step 6: Final answer
    x = 3,013.39

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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.