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Finding the Fourth Proportional to 3,676.74, 5,072.49 and 2,184.36

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Solution

The fourth proportional to 3,676.74, 5,072.49 and 2,184.36 is: 3,013.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.74 : 5,072.49 = 2,184.36 : x
  2. Step 2: Convert to fraction form
    3,676.74/5,072.49 = 2,184.36/x
  3. Step 3: Cross multiply
    3,676.74x = 5,072.49 × 2,184.36
  4. Step 4: Simplify right side
    3,676.74x = 11,080,144.26
  5. Step 5: Solve for x
    x = 11,080,144.26/3,676.74
  6. Step 6: Final answer
    x = 3,013.58

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