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Finding the Fourth Proportional to 3,535.20, 4,872.24 and 2,874.24

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Solution

The fourth proportional to 3,535.20, 4,872.24 and 2,874.24 is: 3,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.20 : 4,872.24 = 2,874.24 : x
  2. Step 2: Convert to fraction form
    3,535.20/4,872.24 = 2,874.24/x
  3. Step 3: Cross multiply
    3,535.20x = 4,872.24 × 2,874.24
  4. Step 4: Simplify right side
    3,535.20x = 14,003,987.10
  5. Step 5: Solve for x
    x = 14,003,987.10/3,535.20
  6. Step 6: Final answer
    x = 3,961.30

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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.