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Finding the Fourth Proportional to 3,453.35, 5,176.44 and 1,969.40

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Solution

The fourth proportional to 3,453.35, 5,176.44 and 1,969.40 is: 2,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.35 : 5,176.44 = 1,969.40 : x
  2. Step 2: Convert to fraction form
    3,453.35/5,176.44 = 1,969.40/x
  3. Step 3: Cross multiply
    3,453.35x = 5,176.44 × 1,969.40
  4. Step 4: Simplify right side
    3,453.35x = 10,194,471.09
  5. Step 5: Solve for x
    x = 10,194,471.09/3,453.35
  6. Step 6: Final answer
    x = 2,952.06

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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.