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Finding the Fourth Proportional to 3,769.95, 5,653.29 and 1,173.09

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Solution

The fourth proportional to 3,769.95, 5,653.29 and 1,173.09 is: 1,759.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.95 : 5,653.29 = 1,173.09 : x
  2. Step 2: Convert to fraction form
    3,769.95/5,653.29 = 1,173.09/x
  3. Step 3: Cross multiply
    3,769.95x = 5,653.29 × 1,173.09
  4. Step 4: Simplify right side
    3,769.95x = 6,631,817.97
  5. Step 5: Solve for x
    x = 6,631,817.97/3,769.95
  6. Step 6: Final answer
    x = 1,759.13

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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.