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Finding the Fourth Proportional to 5,639.67, 7,777.98 and 4,226.67

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Solution

The fourth proportional to 5,639.67, 7,777.98 and 4,226.67 is: 5,829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.67 : 7,777.98 = 4,226.67 : x
  2. Step 2: Convert to fraction form
    5,639.67/7,777.98 = 4,226.67/x
  3. Step 3: Cross multiply
    5,639.67x = 7,777.98 × 4,226.67
  4. Step 4: Simplify right side
    5,639.67x = 32,874,954.73
  5. Step 5: Solve for x
    x = 32,874,954.73/5,639.67
  6. Step 6: Final answer
    x = 5,829.23

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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.