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Finding the Fourth Proportional to 3,676.59, 5,072 and 2,183.66

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Solution

The fourth proportional to 3,676.59, 5,072 and 2,183.66 is: 3,012.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.59 : 5,072 = 2,183.66 : x
  2. Step 2: Convert to fraction form
    3,676.59/5,072 = 2,183.66/x
  3. Step 3: Cross multiply
    3,676.59x = 5,072 × 2,183.66
  4. Step 4: Simplify right side
    3,676.59x = 11,075,498.16
  5. Step 5: Solve for x
    x = 11,075,498.16/3,676.59
  6. Step 6: Final answer
    x = 3,012.44

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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.