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Finding the Fourth Proportional to 3,769.50, 5,200.23 and 2,651.16

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Solution

The fourth proportional to 3,769.50, 5,200.23 and 2,651.16 is: 3,657.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.50 : 5,200.23 = 2,651.16 : x
  2. Step 2: Convert to fraction form
    3,769.50/5,200.23 = 2,651.16/x
  3. Step 3: Cross multiply
    3,769.50x = 5,200.23 × 2,651.16
  4. Step 4: Simplify right side
    3,769.50x = 13,786,641.77
  5. Step 5: Solve for x
    x = 13,786,641.77/3,769.50
  6. Step 6: Final answer
    x = 3,657.42

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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.