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Finding the Fourth Proportional to 5,639.50, 7,786.04 and 3,623.73

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Solution

The fourth proportional to 5,639.50, 7,786.04 and 3,623.73 is: 5,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.50 : 7,786.04 = 3,623.73 : x
  2. Step 2: Convert to fraction form
    5,639.50/7,786.04 = 3,623.73/x
  3. Step 3: Cross multiply
    5,639.50x = 7,786.04 × 3,623.73
  4. Step 4: Simplify right side
    5,639.50x = 28,214,506.73
  5. Step 5: Solve for x
    x = 28,214,506.73/5,639.50
  6. Step 6: Final answer
    x = 5,003.02

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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.