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Finding the Fourth Proportional to 3,645.87, 5,463.67 and 2,083.53

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Solution

The fourth proportional to 3,645.87, 5,463.67 and 2,083.53 is: 3,122.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.87 : 5,463.67 = 2,083.53 : x
  2. Step 2: Convert to fraction form
    3,645.87/5,463.67 = 2,083.53/x
  3. Step 3: Cross multiply
    3,645.87x = 5,463.67 × 2,083.53
  4. Step 4: Simplify right side
    3,645.87x = 11,383,721.34
  5. Step 5: Solve for x
    x = 11,383,721.34/3,645.87
  6. Step 6: Final answer
    x = 3,122.36

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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.