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Finding the Fourth Proportional to 3,675.84, 5,072.12 and 2,183.82

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Solution

The fourth proportional to 3,675.84, 5,072.12 and 2,183.82 is: 3,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.84 : 5,072.12 = 2,183.82 : x
  2. Step 2: Convert to fraction form
    3,675.84/5,072.12 = 2,183.82/x
  3. Step 3: Cross multiply
    3,675.84x = 5,072.12 × 2,183.82
  4. Step 4: Simplify right side
    3,675.84x = 11,076,597.10
  5. Step 5: Solve for x
    x = 11,076,597.10/3,675.84
  6. Step 6: Final answer
    x = 3,013.35

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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.