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Finding the Fourth Proportional to 3,947.36, 5,452.14 and 3,475.64

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Solution

The fourth proportional to 3,947.36, 5,452.14 and 3,475.64 is: 4,800.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.36 : 5,452.14 = 3,475.64 : x
  2. Step 2: Convert to fraction form
    3,947.36/5,452.14 = 3,475.64/x
  3. Step 3: Cross multiply
    3,947.36x = 5,452.14 × 3,475.64
  4. Step 4: Simplify right side
    3,947.36x = 18,949,675.87
  5. Step 5: Solve for x
    x = 18,949,675.87/3,947.36
  6. Step 6: Final answer
    x = 4,800.59

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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.