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Finding the Fourth Proportional to 3,648.46, 5,463.92 and 2,083.73

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Solution

The fourth proportional to 3,648.46, 5,463.92 and 2,083.73 is: 3,120.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.46 : 5,463.92 = 2,083.73 : x
  2. Step 2: Convert to fraction form
    3,648.46/5,463.92 = 2,083.73/x
  3. Step 3: Cross multiply
    3,648.46x = 5,463.92 × 2,083.73
  4. Step 4: Simplify right side
    3,648.46x = 11,385,334.02
  5. Step 5: Solve for x
    x = 11,385,334.02/3,648.46
  6. Step 6: Final answer
    x = 3,120.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.