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Finding the Fourth Proportional to 5,638.50, 7,781.19 and 3,120.66

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Solution

The fourth proportional to 5,638.50, 7,781.19 and 3,120.66 is: 4,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.50 : 7,781.19 = 3,120.66 : x
  2. Step 2: Convert to fraction form
    5,638.50/7,781.19 = 3,120.66/x
  3. Step 3: Cross multiply
    5,638.50x = 7,781.19 × 3,120.66
  4. Step 4: Simplify right side
    5,638.50x = 24,282,448.39
  5. Step 5: Solve for x
    x = 24,282,448.39/5,638.50
  6. Step 6: Final answer
    x = 4,306.54

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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.