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Finding the Fourth Proportional to 3,656.57, 5,044.74 and 2,083.75

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Solution

The fourth proportional to 3,656.57, 5,044.74 and 2,083.75 is: 2,874.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.57 : 5,044.74 = 2,083.75 : x
  2. Step 2: Convert to fraction form
    3,656.57/5,044.74 = 2,083.75/x
  3. Step 3: Cross multiply
    3,656.57x = 5,044.74 × 2,083.75
  4. Step 4: Simplify right side
    3,656.57x = 10,511,976.98
  5. Step 5: Solve for x
    x = 10,511,976.98/3,656.57
  6. Step 6: Final answer
    x = 2,874.82

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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.