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Finding the Fourth Proportional to 3,235.68, 4,845.29 and 2,138.40

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Solution

The fourth proportional to 3,235.68, 4,845.29 and 2,138.40 is: 3,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.68 : 4,845.29 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    3,235.68/4,845.29 = 2,138.40/x
  3. Step 3: Cross multiply
    3,235.68x = 4,845.29 × 2,138.40
  4. Step 4: Simplify right side
    3,235.68x = 10,361,157.44
  5. Step 5: Solve for x
    x = 10,361,157.44/3,235.68
  6. Step 6: Final answer
    x = 3,202.16

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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.