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Finding the Fourth Proportional to 3,947.64, 5,445.02 and 3,201.64

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Solution

The fourth proportional to 3,947.64, 5,445.02 and 3,201.64 is: 4,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.64 : 5,445.02 = 3,201.64 : x
  2. Step 2: Convert to fraction form
    3,947.64/5,445.02 = 3,201.64/x
  3. Step 3: Cross multiply
    3,947.64x = 5,445.02 × 3,201.64
  4. Step 4: Simplify right side
    3,947.64x = 17,432,993.83
  5. Step 5: Solve for x
    x = 17,432,993.83/3,947.64
  6. Step 6: Final answer
    x = 4,416.05

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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.