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Finding the Fourth Proportional to 4,254.32, 6,372.84 and 2,198

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Solution

The fourth proportional to 4,254.32, 6,372.84 and 2,198 is: 3,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.32 : 6,372.84 = 2,198 : x
  2. Step 2: Convert to fraction form
    4,254.32/6,372.84 = 2,198/x
  3. Step 3: Cross multiply
    4,254.32x = 6,372.84 × 2,198
  4. Step 4: Simplify right side
    4,254.32x = 14,007,502.32
  5. Step 5: Solve for x
    x = 14,007,502.32/4,254.32
  6. Step 6: Final answer
    x = 3,292.54

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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.