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Finding the Fourth Proportional to 5,639.96, 8,459.94 and 3,563.12

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Solution

The fourth proportional to 5,639.96, 8,459.94 and 3,563.12 is: 5,344.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.96 : 8,459.94 = 3,563.12 : x
  2. Step 2: Convert to fraction form
    5,639.96/8,459.94 = 3,563.12/x
  3. Step 3: Cross multiply
    5,639.96x = 8,459.94 × 3,563.12
  4. Step 4: Simplify right side
    5,639.96x = 30,143,781.41
  5. Step 5: Solve for x
    x = 30,143,781.41/5,639.96
  6. Step 6: Final answer
    x = 5,344.68

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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.