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Finding the Fourth Proportional to 5,627.45, 7,769.19 and 3,861.65

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Solution

The fourth proportional to 5,627.45, 7,769.19 and 3,861.65 is: 5,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,627.45 : 7,769.19 = 3,861.65 : x
  2. Step 2: Convert to fraction form
    5,627.45/7,769.19 = 3,861.65/x
  3. Step 3: Cross multiply
    5,627.45x = 7,769.19 × 3,861.65
  4. Step 4: Simplify right side
    5,627.45x = 30,001,892.56
  5. Step 5: Solve for x
    x = 30,001,892.56/5,627.45
  6. Step 6: Final answer
    x = 5,331.35

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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.