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Finding the Fourth Proportional to 5,638.77, 7,781.99 and 3,280.77

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Solution

The fourth proportional to 5,638.77, 7,781.99 and 3,280.77 is: 4,527.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.77 : 7,781.99 = 3,280.77 : x
  2. Step 2: Convert to fraction form
    5,638.77/7,781.99 = 3,280.77/x
  3. Step 3: Cross multiply
    5,638.77x = 7,781.99 × 3,280.77
  4. Step 4: Simplify right side
    5,638.77x = 25,530,902.93
  5. Step 5: Solve for x
    x = 25,530,902.93/5,638.77
  6. Step 6: Final answer
    x = 4,527.74

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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.