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Finding the Fourth Proportional to 3,676.74, 5,073.52 and 2,083.26

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Solution

The fourth proportional to 3,676.74, 5,073.52 and 2,083.26 is: 2,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.74 : 5,073.52 = 2,083.26 : x
  2. Step 2: Convert to fraction form
    3,676.74/5,073.52 = 2,083.26/x
  3. Step 3: Cross multiply
    3,676.74x = 5,073.52 × 2,083.26
  4. Step 4: Simplify right side
    3,676.74x = 10,569,461.28
  5. Step 5: Solve for x
    x = 10,569,461.28/3,676.74
  6. Step 6: Final answer
    x = 2,874.68

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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.