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Finding the Fourth Proportional to 5,643.72, 8,469.33 and 2,522.67

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Solution

The fourth proportional to 5,643.72, 8,469.33 and 2,522.67 is: 3,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.72 : 8,469.33 = 2,522.67 : x
  2. Step 2: Convert to fraction form
    5,643.72/8,469.33 = 2,522.67/x
  3. Step 3: Cross multiply
    5,643.72x = 8,469.33 × 2,522.67
  4. Step 4: Simplify right side
    5,643.72x = 21,365,324.71
  5. Step 5: Solve for x
    x = 21,365,324.71/5,643.72
  6. Step 6: Final answer
    x = 3,785.68

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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.