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Finding the Fourth Proportional to 4,744.23, 7,109.31 and 4,225.23

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Solution

The fourth proportional to 4,744.23, 7,109.31 and 4,225.23 is: 6,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.23 : 7,109.31 = 4,225.23 : x
  2. Step 2: Convert to fraction form
    4,744.23/7,109.31 = 4,225.23/x
  3. Step 3: Cross multiply
    4,744.23x = 7,109.31 × 4,225.23
  4. Step 4: Simplify right side
    4,744.23x = 30,038,469.89
  5. Step 5: Solve for x
    x = 30,038,469.89/4,744.23
  6. Step 6: Final answer
    x = 6,331.58

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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.