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Finding the Fourth Proportional to 5,638.50, 7,772.85 and 3,954.83

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Solution

The fourth proportional to 5,638.50, 7,772.85 and 3,954.83 is: 5,451.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.50 : 7,772.85 = 3,954.83 : x
  2. Step 2: Convert to fraction form
    5,638.50/7,772.85 = 3,954.83/x
  3. Step 3: Cross multiply
    5,638.50x = 7,772.85 × 3,954.83
  4. Step 4: Simplify right side
    5,638.50x = 30,740,261.50
  5. Step 5: Solve for x
    x = 30,740,261.50/5,638.50
  6. Step 6: Final answer
    x = 5,451.85

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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.