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Finding the Fourth Proportional to 5,637.72, 8,450.19 and 4,072.19

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Solution

The fourth proportional to 5,637.72, 8,450.19 and 4,072.19 is: 6,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.72 : 8,450.19 = 4,072.19 : x
  2. Step 2: Convert to fraction form
    5,637.72/8,450.19 = 4,072.19/x
  3. Step 3: Cross multiply
    5,637.72x = 8,450.19 × 4,072.19
  4. Step 4: Simplify right side
    5,637.72x = 34,410,800.34
  5. Step 5: Solve for x
    x = 34,410,800.34/5,637.72
  6. Step 6: Final answer
    x = 6,103.67

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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.