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Finding the Fourth Proportional to 3,412.53, 5,115.96 and 1,769.55

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Solution

The fourth proportional to 3,412.53, 5,115.96 and 1,769.55 is: 2,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.53 : 5,115.96 = 1,769.55 : x
  2. Step 2: Convert to fraction form
    3,412.53/5,115.96 = 1,769.55/x
  3. Step 3: Cross multiply
    3,412.53x = 5,115.96 × 1,769.55
  4. Step 4: Simplify right side
    3,412.53x = 9,052,927.83
  5. Step 5: Solve for x
    x = 9,052,927.83/3,412.53
  6. Step 6: Final answer
    x = 2,652.85

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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.